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\(T(E)\), as indicated in Fig. 3a, clearly distinguishes between the conducting state (solid curve) and the insulation state (dash curve). Note that the lattice distortions in Fig. 3b are reported in terms of the _e-ph_ coupling induced bond length variation \(y_{n}=u_{n+1}-u_{n}\) between nearest neighbors. The dashed...
[ { "caption": "Fig. 2. The hysteretic current as the function of sweeping bias potential for the model OSE in junction with Co electrodes in the parallel configuration. The linear voltage sweep rate is at 0.1 V/sec. The insert is the bias voltage-induced charge variation in the OSE substructure. The OSE-Co metal...
Figure 1: Energy Density variation (integrated over \(\mu\) ) with radial parameter s of the star for two central energy densities ; \(6\times 10^{14}g/cm^{3}\) (solid line) and \(1\times 10^{15}g/cm^{3}\) (dashed line)
[ { "caption": "FIG. 1. Energy Density variation (integrated over µ ) with radial parameter s of the star for two central energy densities ; 6× 1014g/cm3 (solid line) and 1× 1015g/cm3 (dashed line)", "captionBoundary": { "x1": 72, "x2": 749, "y1": 873, "y2": 897 }, "figType": "...
# Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion B. L. Altshuler\({}^{*}\), R. M. Konik\({}^{\dagger}\), and A. M. Tsvelik\({}^{\dagger}\) \({}^{*}\) Physics Department, Princeton University, Princeton NJ 08544, USA; Phy...
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* (31) Ahmed Jellal, hep-th/0105303; S. Ghosh, hep-th/0405177. * (32) C. Duval, P. A. Horvathy, Phys. Lett. B479,284(2000); C. Duval, P. A. Horvathy, J. Phys. A34:10097-10108, 2001, hep-th/0106089; P. Horvathy, M. Plyushchay, JHEP 0206 (2002), 033; Mariano A. del Olmo and M. S. Plyushchay, hep-th/0508020; P. A. Horvath...
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bottom trenches. To minimize \(N\) etching of the top trench should be stopped as soon as it reaches the level of the bottom trench. To do this we developed a simple endpoint detection method: a test line with the same width as the top trench was milled simultaneously with the top trench in the area above the bottom tr...
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is seen that the yield ratio of near and far angle correlation peaks is sensitive to \(\gamma/\pi^{0}\) in the sample of events. It is also seen that this method is more effective for lower \(p_{T}^{associated}\). ## References * [1]S. S. Adler et. al., nucl-ex/0503003 * [2]K. Adcox et. al., Phy. Rev. Lett 88, 022301...
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* (35) B.Z. Kopeliovich, J. Raufeisen and A.V. Tarasov, Phys. Lett. **B440** (1998) 151. * (36) B.Z. Kopeliovich, J. Raufeisen and A.V. Tarasov, Phys. Rev. **C62** (2000) 035204. * (37) V.N. Gribov, Sov. Phys. JETP **56** (1968) 892. * (38) V. Karmanov and L.A. Kondratyuk, Sov. Phys. JETP Lett. **18** (1973) 266. * (39...
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# MAGNETIC COMPOSITES: MAGNONIC EXCITATIONS vs. THREE-DIMENSIONAL STRUCTURAL PERIODICITY M. Krawczyk1 and H. Puszkarski Footnote 1: Corresponding author; e-mail: krawczyk@amu.edu.pl Surface Physics Division, Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznan, Poland ## ABSTRACT Thi...
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**Boost Mass and the Mechanics of Accelerated Black Holes** **Koushik Dutta, Sourya Ray and Jennie Traschen1** Footnote 1: Surface gravity \(\kappa\) is defined by the equation \(V^{b}\nabla_{b}V_{a}=\kappa V_{a}\), where \(V^{a}\) is the generator of the horizon Department of Physics University of Massachusetts A...
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Generalized canonical ensemble The above methodology can be easily extended to the canonical ensemble provided that we can characterize the space in which the typical trajectory is embedded by a number of configurations \(\mathcal{N}(\Gamma^{*})\) where \(\Gamma^{*}\) now denotes the total number of smooth configurati...
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\(S_{WZ}\) canceling the gauge anomaly, but also a new type of WZ term \(S_{NWZ}\), which is irrelevant to the gauge symmetry but is needed to make the SC system into the fully FC one analogous to the case of the CS model [4]. ## 6 Conclusion In conclusion, we have revisited the chain structure [9] analysis for the n...
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gitized and sent to shore. Two nitrogen lasers are used for calibration of the detector. The first one (_fiber laser_) is mounted just above the array. Its light is guided via optical fibers of equal length to each OM pair. The fiber laser provides the OMs with simultaneous light signals in order to determine the of...
[ { "caption": "Fig. 1. A schematic view of NT200. The expansion left-hand shows 2 pairs of optical modules (“svjaska”) with the svjaska electronics module, which houses part of the readout and control electronics.", "captionBoundary": { "x1": 123, "x2": 649, "y1": 424, "y2": 468 }...
Princeton, 1989. * (29) D. Lovelock, J. Math. Phys. **12** (1971) 498. * (30) R. C. Myers, Phys. Rev. D **36** (1987) 392. * (31) S. Cnockaert and M. Henneaux, Class. Quant. Grav. **22** (2005) 2797 [arXiv:hep-th/0504169]. * (32) C. Cutler and R. M. Wald, Class. Quant. Grav. **4** (1987) 1267. * (33) R. M. Wald, Class....
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with thicknesses in the nm range on top of the crystals [2, 3, 6]. For the Ru-1212Gd crystals used, it turned out that the mesa technology produced too large contact resistance between the crystal surface and the contacting Au layers to be useful. Crystals thus have been measured in a two terminal configuration, as ...
[ { "caption": "Figure 12. Out-of-plane resistance of two Ru-1212Gd single crystals, as measured in the two-terminal configuration shown in the inset.", "captionBoundary": { "x1": 96, "x2": 702, "y1": 842, "y2": 859 }, "figType": "Figure", "imageText": [ "Ω", ")...
* (10) Truong T and Bazzali D 2000 Exact low-lying states of two interacting equally charged particles in a magnetic field _Phys. Lett._**A 269** 186-193 * (11) Taut M 1999 Two particles whit opposite charge in a homogeneous magnetic field: particular analytical solutions of the two-dimensional Schrodinger equation _J....
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CERN-PH-TH/2005-145 TTP05-12 SFB/CPP-05-36 **Electroweak corrections to top-quark pair production in quark-antiquark annihilation** J.H. Khn\({}^{a}\), A. Scharf\({}^{a}\), and P. Uwer\({}^{b}\) \({}^{a}\)_Institut fr Theoretische Teilchenphysik, Universitt Karlsruhe_ _76128 Karlsruhe, Germany_ \({}^{b}\)_CERN, ...
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J. Collins: _"Renormalisation"_, Cambridge Monographs in Mathematical Physics, Cambridge University Press, 1984. S. Pocorski: _"Gauge Field Theories"_, Cambridge University Press, 1987. P. Ramond: _"Field Theory: A Modern Primer"_, Addison-Wesley, 1990. M. E. Peskin and D. V. Schroeder: _"An Introduction to Quantum Fie...
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integral can be safely put to zero (a non-zero lower limit of integration would merely result in corrections to scaling) leading to the scaling relation \[a(2-b)=\frac{d}{2}(1-z^{\prime})\] (10) and \[\hat{S}^{\prime}(A\nu^{d/2})=\int_{0}^{\infty}\mathrm{d}xx^{1-b}\hat{\phi}(x,A \nu^{d/2}).\] (11) The linear depend...
[ { "caption": "FIG. 2: Left column: plots of the SAR for d = 1, 2, 3 with ν = 0.001, 0.003, 0.01, 0.03, 0.1. Right column: plots of the data collapse yielding a measure of the exponent z′ in Table 1.", "captionBoundary": { "x1": 96, "x2": 717, "y1": 472, "y2": 508 }, "figType"...
## References * [1] C. Jarlskog, Phys. Rev. D 35 (1987) 1685; D36 (1987) 2128. C. Jarlskog and A. Kleppe, Nucl. Phys. B286 (1987) 245. C. H. Albright, C. Jarlskog and B-A. Lindholm, Phys. Lett. B199 (1987) 553; Phys. Rev. D38 (1988) 872. C. Jarlskog, Phys. Lett. B615 (2005) 207, hep-ph/0503199. * [2] G. C. Branco and ...
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[18]. However, the unitarity problem of the theory is not yet settled [19]. The paper is organized as follows : in sec. II, we present the gravitational action and field equations, Cosmological solutions are given in sec. III and a brief discussions in sec. IV. **II. GRAVITATIONAL ACTION AND FIELD EQUATIONS :** We c...
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sults are found for the pair-distribution function, where \(g(r)\) at smaller cutoffs has little short distance structure and lies fairly close to the Fermi gas (i.e., Hartree-Fock wave functions) values, where the correlations arise solely from Fermi statistics. It is interesting to note that the correlations induced...
[ { "caption": "Fig. 5. Two-particle wave function for the 3S1 channel in symmetric nuclear matter at kF = 1.35 fm −1.", "captionBoundary": { "x1": 123, "x2": 648, "y1": 489, "y2": 516 }, "figType": "Figure", "imageText": [ "[P", "=", "0,", "k", ...
Waves._ PhD Thesis, Delft University of Technology, (1997). * (13) J. Muller Annales Geophysicae - Atmospheres Hydrospheres and Space Sciences **11**, (6): 525-531 (1993). * (14) H. E. Stanley and P. Meakin, Nature **355**, 405 (1988). * (15) G. Corso and L. S. Lucena, Physica A (to appear) (2005).
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Whereas the computation of the dark matter relic density is quite reliable (as in the version 1.3 of MicrOMEGAs), the result for the branching ratio BR\((b\to s\gamma)\) has still to be interpreted with care, notably for larger (\(\raise 1.29167pt\hbox{$>$\kern-7.5pt\raise-4.73611pt\hbox{$\sim$}}\ 5\)) values of \(\tan...
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simple energetics: high-fields stabilize the high magnetization phase and suppress the low magnetization phase. Because of this difference, polycrystalline average curves estimated for these high field measurements are no longer smooth and featureless as those for low fields, so the transition in magnetization should a...
[ { "caption": "Figure 5. Low-temperature magnetic behaviour of YbFe6Ge6. (a) Anisotropic susceptibility at B = 0.1 T, showing the anomalous transition around 63 K. The dotted line is the polycrystalline average. (b) Field dependence of the transition temperature TSR for both orientations. The dotted lines are gu...
. * [2] Graham, R., Haken, H. _Zeit. Phys. A._**1971**, 243, 289-302. * [3] Graham, R., Tel, T. _Phys. Rev. A._**1985**, 31, 1109-1122. * [4] Graham, R. In _Noise in Nonlinear Dynamical Systems_; Moss, F., McClintock, P.V.E., Eds.; Cambridge Univ. Press: London, **1989**, pp. 225-278. * [5] Ao, P. _J. Phys. A._**2004**...
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In the case of a flow which is suspended from an algebraic diffeomorphism, C. Deninger and the author have proved this conjecture [8]. **Theorem 4.2**: _(C. Deninger-AD) The Guillemin-Patterson conjecture is true for flows suspended from algebraic Anosov diffeomorphisms. More specifically, if \(f:M\to M\) is an algebr...
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\(A\) are exactly degenerate, \(\sigma_{A}=2\sigma_{\tau}\), and the toy experiment can achieve \(~{}6\%\) fractional uncertainty on \(A\). ## 7 Prospects for the future WMAP's on-going measurements of CMB polarization are expected to continue until at least 2006. In 2007 Planck will be launched and will start making...
[ { "caption": "Fig. 9. Individual and joint likelihood functions for the toy experiment discussed in the text, with fsky = 2.4%. The uncertainties from the marginalized likelihoods are τ = 0.12 ± 0.038 and A = 0.81 ± 0.15, given a prior that τ > 0.04. The joint confidence intervals correspond to 1/ √ e (inner) a...
_GRworkbench_ with a functional interface like that of the minimisation algorithm (3.1.1) with \(n=1\). ## 4 Conclusion By 'gluing' together the methods described in this article, using their functional implementations, it is easy to define potentially complex numerical experiments. Figure 2 shows the interferometer ...
[ { "caption": "Figure 2: An idealised interferometer simulated in GRworkbench, with 5 orthogonal arms. The interferometer is orbiting the field centre, marked by the ball. The world-lines of the end-mirrors of each arm are joined to the world-line of the beam-splitter by null geodesics.", "captionBoundary": ...
P. S. Aspinwall, K3 surfaces and string duality, 1996 preprint, arXiv:hep-th/9611137. J. de Boer et al., Triples, fluxes, and strings, Adv. Theor. Math. Phys. **4**, 995 (2002). J. Gauntlett, Branes, calibrations and supergravity, in Strings and Geometry, Douglas et al., pp. 79-126, AMS 2004. J. Li and S.-T. Yau, Th...
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* [6]M. S. Morris and K. S. Thorne, Am. J. Phys. **56**, 395 (1988). * [7]L. H. Ford and T. A. Roman , Phys. Rev. D **53**, 5496 (1996).
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whereas: Footnote 7: In the pre-relativistic period of Hamilton the fourth quaternion unit had, of course, no relationship to physical time and was added as a common scalar to the three spatial units. With regard to the applications we are interested in, we have immediately introduced the fourth dimension as a time di...
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\[\widetilde{p_{n}}\left(T-\sum\limits_{k=1}^{m_{n}}\theta_{\xi_{k}^{n},\eta_{k} ^{n}}\right)<\frac{1}{2n}.\] We show that \(\{\xi_{k}^{n};1\leq k\leq m_{n},n=1,2,...\}\) is a system of generators for \(E.\) Let \(\xi\)\(\in\)\(E,\)\(\varepsilon>0\;\)and let \(n_{0}\) be a positive integer. Since \(T\) has dense rang...
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stars counted as members of Draco by Wilkinson et al. (2004). Since some of the stars clearly are discrepant from the main body of the galaxy we further exclude some of them as interlopers. The selection is indicated by the solid and dashed lines intended to follow the overall shape of such diagrams for gravitationally...
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ontological "state-space" with a mere epistemological one, one clearly risks various forms "incompleteness" in the respective theory. After all, even the Copenhagen Interpretation does not go so far as to deny the physical existence of quantum system as ontological entities which go through a variety of different physi...
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then Julius Wess and I noticed the cancellation of divergences, as well as the fact that fewer renormalization constants are needed in SUSY quantum field theories. The SM has both boson and fermion fields, but the obvious idea to arrange them in supermultiplets fails to agree with experiment. It turns out that one is ...
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# hep-ph/yymmddd **Gauge coupling and fermion mass relations in low string scale brane models** D.V. Gioutsos, G.K. Leontaris and J. Rizos Theoretical Physics Division, Ioannina University, GR-45110 Ioannina, Greece We analyze the gauge coupling evolution in brane inspired models with \(U(3)\times U(2)\times U(1)^{N...
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UCRHEP-T395 August 2005 **Tetrahedral Family Symmetry** **and the Neutrino Mixing Matrix** **Ernest Ma** Physics Department, University of California, Riverside, California 92521, USA, and Institute for Particle Physics Phenomenology, Department of Physics, University of Durham, Durham, DH1 3LE, UK ###### Abstr...
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The ratio of \({}^{236}\)U and \({}^{235}\)U contents was evaluated by comparing the yield of the \({}^{236}\)U peak at 49.37 keV to the yield curve obtained from the yields of the 58.6, 84.2 and 90 keV peaks of \({}^{235}\)U and it was found to be \((0.67\pm 0.10)\times 10^{-2}\). Then the \({}^{236}\)U content was ca...
[ { "caption": "Figure 4: Gamma-spectrum of the Round-Robin material taken by a medium-area planar HPGe detector.", "captionBoundary": { "x1": 115, "x2": 648, "y1": 522, "y2": 544 }, "figType": "Figure", "imageText": [ "10", "4", "45", "46", "4...
HU-EP-05/35 hep-th/0508071 **D-branes in overcritical electric fields** Harald Dorn, Mario Salizzoni and Alessandro Torrielli Humboldt-Universitat zu Berlin, Institut fur Physik Newtonstrasse 15, D-12489 Berlin dorn,sali,torriell@physik.hu-berlin.de **Abstract** We collect some arguments for treating a D-brane...
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high genus, with the branch points on the complex plane being totally unresolvable when the cycles are large. ### Dynamics in the \(p\neq p^{\prime}\) case.
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* [5] P.W. Milonni, _The Quantum Vacuum: An Introduction to Quantum Electrodynamics_, (Academic Press, San Diego, 1994) * [6] Z. Ficek and R. Tanas, Phys. Rep. **372** (2002) 369 * [7] R.R. Puri, _Mathematical Methods of Quantum Optics_, (Springer, Berlin, 2001) * [8] E.B. Davies, Comm. Math. Phys. **39** (1974) 91; Ma...
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# Dynamic rewiring in small world networks J P L Hatchett Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute, Saitama 351-0198, Japan hatchett@brain.riken.jp N S Skantzos Instituut voor Theoretische Fysica, Celestijnenlaan 200D, K.U.Leuven B-3001, Belgium Nikos.Skantzos@fys.kuleuven.be T Nikol...
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## References * [1] R. H. Swendsen and J.-S. Wang, _Phys. Rev. Lett._, 1986, **57**, 2607. * [2] C. J. Geyer In _Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface_, p. 156, New York, 1991. American Statistical Association. * [3] U. H. E. Hansmann, _Chem. Phys. Lett._, 1997, **281**, ...
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* (10) R. Kubo, K. Matsuo and K. Kitahara, _J. Stat. Phys. 9_ (1973) 51. * (11) M. Suzuki, _Progress of Theor. Phys. 56_ (1976) 77 and 477, _57_ (1977) 380; _J. Stat. Phys. 16_ (1977) 11 and 477; _Supplement of Progress of Theor. Phys. 64_ (1978) 402. * (12) The last author has not witnessed such an event.
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Priest, E. & Forbes T. 2000, Magnetic Reconnection: MHD Theory and Applications, CUP * (32)Pryadko, J. M. & Petrosian, V. 1997 ApJ, 482, 774 * (33)Pryadko, J. M. & Petrosian, V. 1998 ApJ, 495, 377 * (34)Pryadko, J. M. & Petrosian, V. 1999 ApJ, 515, 873 * (35)Sigmar, H. 2002, _Collisional Transport in Magnetized Plasmas...
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EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN-PH-EP/2005-035 15th July 2005 **Colour reconnection in \(\mathrm{e}^{+}\mathrm{e}^{-}\rightarrow\mathrm{W}^{+}\mathrm{W}^{-}\)** **at \(\sqrt{s}=189\)-\(209\)\(\mathrm{GeV}\)** The OPAL Collaboration Abstract The effects of the final state interaction phenomenon kn...
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nch solution in all cases. ## 5 Conclusions We have shown that the nonextremal shell branch enhancon solution is physical when the nonextremality parameter \(r_{0}\) is small enough. We have also shown that a supergravity solution of the form given in (6) - (10) exists for all masses above the ADM mass of the extrema...
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* [2] W. Siegel, _Phys. Lett._**B 84** (1979) 193. * [3] G. 't Hooft and M. Veltman, _Nucl. Phys._**B 44** (1972) 189. * [4] J. C. Collins, D. E. Soper and G. Sterman, _Nucl. Phys._**B 261** (1985) 104; _Nucl. Phys._**B 308** (1988) 833; _Adv. Ser. Direct. High Energy Phys._**5** (1988) 1 (hep-ph/0409313). * [5] Z. Kun...
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where the right-hand side is evaluated at the value of \(\phi\) corresponding to horizon crossing for the comoving scale of interest. With a power-law potential \[V(\phi)=\lambda\phi^{n},\] (17) this gives, neglecting logarithmic factors (see, e.g., [22]), \[Q\propto\lambda^{1/2}.\] (18) Suppose now that \(\lambda\...
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[27] V. Vanchurin, A. Vilenkin and S. Winitzki, Phys. Rev. **D61**, 083507 (2000). * [28] J. Garriga, D. Perlov, A. Vilenkin and S. Winitzki, unpublished. * [29] A.D. Linde and V.F. Mukhanov, Phys. Rev. **D56**, 535 (1997). * [30] D.H. Lyth and D. Wands, Phys. Lett. **B524**, 5 (2002). * [31] G. Dvali, A. Gruzinov and ...
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\(S-T\) relations.[25] RDCS J1252 appears thus well thermalized with thermodynamical properties similar to those of clusters at low redshift. The value of the metallicity obtained from the XMM spectroscopic data[26] turns out to be consistent with the mean ICM metallicity value for lower redshift clusters.[28] This res...
[ { "caption": "Fig. 2. RDCS J1252. a) ACS weak lensing mass map (taken from Lombardi et al. 2005) centered on the optical center of the cluster and covering 5.7 × 5.7 arcmin2. The dashed square has a side length of 2 arcmin (1 Mpc at the cluster redshift). b) Chandra X-ray iso-contours in the central 2 arcmin of...
## V Internal dipolar field nonhomogeneity _vs._ comb and bulk-dead modes Now let's superimpose the calculated magnetostatic mode frequency spectrum and the profile of local field \(H(n)\) plotted along the rod axis (Fig. 4). A strong spatial inhomogeneity of the local field is apparent from the calculated field value...
[ { "caption": "FIG. 3: Numerically calculated magnetostatic mode profiles in a rod of length 200a depicted along the central axis (indicated in Figure 1) showing separately: (a) the dynamical magnetization m+ relative values, and (b) the corresponding absolute values, |m+|.", "captionBoundary": { "x1":...
* [11] G. Ortiz, R. Somma, H. Barnum, E. Knill and L. Viola, _Entanglement as an observer-dependent concept: an application to quantum phase transitions_, quant-ph/0403043 v1 4 Mar 2004. * [12] E. Schrodinger, _Die gegenwartige Situation in der quantenmechanik_, _Naturwissenschaften_**23** (1935), 823, 844. * [13] A. E...
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Y. F. was supported in part by a Grant-in-Aid from the Ministry of Education, Culture, Sports, Science, and Technology of Japan (17740162). T. K. S. is financially supported by the JSPS Research Fellowship for Young Scientists, grant 4607.
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# Diquark-diquark correlations in the \({}^{1}S_{0}\)\(\Lambda\Lambda\) potential T. Fernandez-Carames\({}^{(1)}\) A. Valcarce\({}^{(2)}\) and P. Gonzalez\({}^{(1)}\) \((1)\) Dpto. de Fisica Teorica and IFIC Universidad de Valencia - CSIC, E-46100 Burjassot, Valencia, Spain \((2)\) Grupo de Fisica Nuclear and IU...
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# Thermal Radiation from Au + Au Collisions at \(\sqrt{s_{NN}}=200\) GeV Energy Jan-e Alam\({}^{a}\), Jajati K. Nayak\({}^{a}\), Pradip Roy\({}^{b}\), Abhee K. Dutt-Mazumder\({}^{b}\) and Bikash Sinha\({}^{a,b}\) \(a\) Variable Energy Cyclotron Centre, 1/AF Bidhan Nagar, Kolkata 700 064, INDIA \(b\) Saha Institute o...
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## 5 Conclusion and discussion A new alternative tool, the SFPM Model, to evaluate scientific and financial performances has been discussed. In the model, a simultaneous relation between scientific and financial performances has been formulated assuming that the quantitative scores should be extracted only from the sc...
[ { "caption": "Figure 1: Correlation between RF and RS for each scientific outcome per-person.", "captionBoundary": { "x1": 113, "x2": 396, "y1": 461, "y2": 488 }, "figType": "Figure", "imageText": [ ".", ".", ".", "0", "x", "x", "...
Inference_ (Prentice Hall, New Jersey, 1997), 5th ed. * (27) A. M. Dudarev, M. G. Raizen, and Q. Niu, in preparation. * Javanainen and Ivanov (1999) J. Javanainen and M. Y. Ivanov, Phys. Rev. A **60**, 2351 (1999). * (29) C.W. Gardiner, P. Zoller, R. J. Ballagh, and M. J. Davis, Phys. Rev. Lett. **79**, 1793 (1997); C....
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. * [10] R. G. Newton. _Scattering Theory of Waves and Particles_. Springer Verlag, N. Y., 1982. * [11] B. Simon. Meromorhic Szego functions and asymptotic series for Verblunsky coefficients. Preprint, SP/0502489, 2005. * [12] B. Simon. _Orthogonal Polynomials on the Unit Circle I and II_, volume 54 of _AMS Colloquium ...
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\[I=\left|\int_{\mathbb{S}^{4}}(u_{1}u_{2})\times(1-\Delta)^{-{\alpha}}(u_{3}u_{ 4})\,dx\right|\ .\]
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This bound shows that all variable-\(r\)-bonacci sequences are \(O(2^{n-1})\). That is, at worst exponential order. The following lemma is the basis for many of our other estimates. We relate the growth of \(b(n)\) to \(r(n)\). **Lemma 2.7****.**: _For all \(n\geq 1\),_ \[\frac{b(n)}{b(n-1)}\leq r(n).\] Proof.: \[b...
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+ Footnote †: preprint: hep-th/0508133, MIT-CTP-3673 ###### Contents Contents ## 1 Introduction Since the early days of string theory, it has been clear that there are many possible ways in which to compactify the various perturbative superstring and supergravity theories from ten or eleven dimensions to four space...
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### Comparison of numerical and CSS critical solutions If our numerical scheme works properly we should obtain the same critical solutions as we did by using the CSS ansatz (up to a truncation error). We must bear in mind, however, that the CSS critical solutions do not describe an asymptotically flat spacetime wherea...
[ { "caption": "Figure 2. Plot of the relevant eigenmodes of the limiting CSS solution N̄p(x), Āp(x), ω̄p(x), v̄p(x).", "captionBoundary": { "x1": 224, "x2": 622, "y1": 504, "y2": 523 }, "figType": "Figure", "imageText": [ "10*Np(x)", "vp(x)", "wp(x)", ...
\(\sigma^{2}=0.87\). The noisy region of the spectrum is characterized by the values \(\tilde{\lambda}_{min}=0.78\) and \(\tilde{\lambda}_{max}=0.99\). With these values one would conclude that \(19\) eigenvalues contain economic information. This is quite surprising because one would expect that for a short time horiz...
[ { "caption": "Fig. 7: PMFG obtained from daily returns of a set of 92 stocks traded in the LSE in 2002. Black circles are identifying stocks belonging to the Financial sector. Gray circles are identifying stocks belonging to the Services sector. Other stocks are indicated by empty circles. Black thicker lines a...
* [13] F. Panaite, Hopf bimodules are modules over a diagonal crossed product algebra, Comm. Algebra**30** (2002), 4049-4058. * [14] F. Panaite, F. Van Oystaeyen, L-R-smash product for (quasi) Hopf algebras, arXiv:math.QA/0504386.
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We have \[\frac{b(N+1)}{N+1} =\frac{b(N+1)}{b(N)}\frac{b(N)}{N}\frac{N}{N+1}\] \[\geq(2)(L-\varepsilon)(1-\varepsilon),\] \[=2L+O(\varepsilon).\] by Lemma 2.3, condition 4, and condition 3 respectively. So, \[\left|\frac{b(N+1)}{N+1}-L\right|\geq 2L+O(\varepsilon)-L=L+O(\varepsilon).\] But by condition 4, we have ...
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\(DSP>6.9\), respectively. The same limits for \({\rm SNR}_{\rm OOTV}\) are \(SNR>5.5\) and \(SNR>6.6\). Obviously, feasible transit candidates are those events that show high DSP, but \({\rm SNR}_{\rm OOTV}\) is low. The above values justify the use of our "soft" cutoffs (meaning that we do not even loose marginal can...
[ { "caption": "Fig. 1. Probability distribution functions of the SNR of the OOTV and of the DSP of the transit for pure Gaussian test signals generated on the OGLE timebase. These diagrams yield significance levels for the above parameters when employed on observed data.", "captionBoundary": { "x1": 58...
* [Para] A. E. Parker, _Good \(l\)-filtrations for \(q\)-\(\mathrm{GL}_{3}(k)\)_, preprint. * [Parb] by same author, _Higher extensions between modules for \(\mathrm{SL}_{2}\)_, preprint. * [Par01] by same author, _The global dimension of Schur algebras for GL\({}_{2}\) and GL\({}_{3}\)_, J. Algebra **241** (2001), 340...
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work is shown in Fig. 5. Closed squares represent the numerical results and the solid line is a fit Figure 4: Plots of \(\rho\) vs \(\lambda\) in the WS (a) and \(\rho\) vs \(1/\lambda\) in the BA (b) networks under different values of the degree-dependent delay time. Parameter values (from bottom to top) \(\alpha=0.1...
[ { "caption": "Figure 4: Plots of ρ vs λ in the WS (a) and ρ vs 1/λ in the BA (b) networks under different values of the degree-dependent delay time. Parameter values (from bottom to top) α = 0.15, 0.25, 0.35, and 0.45, respectively.", "captionBoundary": { "x1": 128, "x2": 659, "y1": 450, ...
### The BHPS model A simple model for the \(x\)-dependence of charm can be obtained by neglecting the \(p_{\perp}\) content, the \(1/x_{j}\) factors, and \(F^{2}\) in Eq. (1). Further approximating the charm quark mass as large compared to all the other masses yields \[dP\propto\prod_{j=1}^{5}dx_{j}\,\delta(1-\sum_{j...
[ { "caption": "Figure 1: Momentum distribution of c or c̄ from the 5-quark model with the exponential suppression of Eq. (5) (left), or the power-law suppression of Eq. (6) (right). Solid curves are the BHPS model of Eq. (4). All curves are normalized to 1% integrated probability.", "captionBoundary": { ...
the number of sums is the same than that of fluctuating extensive variables). For an ergodic system, for which \(\mathcal{N}(\Upsilon_{i})=\Upsilon_{i}\), this leads to the generalized Gibbs distribution \[\Upsilon=\sum_{i}\Gamma_{i}e^{-\sum_{k}y_{k}X_{k,i}}\] (35) and, in the non-ergodic case with fractal phase spac...
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\pm 1/\sqrt{a}\) (stable). Consider Eq. (25) near a stable fixed point by the change \(y\to w+1/\sqrt{a}\). Then \[D^{\alpha}w+2w+3\sqrt{a}w^{2}+aw^{3}=0\,.\] (26) Close to the stable fixed point we have a linear equation \[D^{\alpha}w_{0}+2w_{0}=0\] (27) with a solution \[w_{0}(t)=BE_{\alpha}(-2t^{\alpha})\,,\...
[ { "caption": "FIG. 1: Rate decay of the linear fractional oscillation with initial conditions x(0) = 1, x′(0) = 0 and the index α = 1.95, f1.95(0) = −0.0256. Solid line corresponds to the solution (18), dash-line - to the approximation (23)", "captionBoundary": { "x1": 96, "x2": 718, "y1":...
Lett. B **537** (2002) 95; Nucl. Phys. B **643** (2002) 247; S. F. King and G. G. Ross, Phys. Lett. B **520** (2001) 243; Very recent models are: S.F. King, [arXiv:hep-ph/0506297]; I. Varzielos and G.G. Ross, [arXiv:hep-ph/0507176]; K.S. Babu and X.-G. He, [arXiv:hep-ph/0507217]. * [27] H. Fritzsch, Z.Z. Xing, Phys. Le...
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* *It computes the branching ratios into two particle final states (quarks and leptons, all possible combinations of gauge and Higgs bosons, charginos, neutralinos, but not decays into squarks and sleptons) of all 6 Higgs particles of the NMSSM. Three body decays via \(WW^{*}\) and \(ZZ^{*}\) are computed as in HDECAY ...
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## References * [1] L. A. Mikaelyan, Yad. Fiz. **65**, 1206 (2002) [Phys. Atom. Nucl. **65**, 1173 (2002)]; hep-ph/0210047. * [2] KamLAND Collab. (T. Araki \(et\ al.\)) Nature **436**, 499 (2005). * [3] V. I. Kopeikin, Yad. Fiz. **66**, 500 (2003) [Phys. Atom. Nucl. **66**, 472 (2003)]; hep-ph/0110030. * [4] K. Schrec...
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# A Data Exchange Standard for Optical (Visible/IR) Interferometry T. A. Pauls Naval Research Laboratory, Code 7210, 4555 Overlook Avenue SW, Washington, DC USA 20375-5351 pauls@nrl.navy.mil1 Footnote 1: affiliation: We request that comments and suggestions related to the OI Exchange Format be directed to the OLBIN...
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2nd ed. (Pergamon press, London, 1968). * (12)A. Stuart and K. Ord, _Kendall's Advanced Theory of Statistics_, Vol.2, \(5^{\rm th}\) Edition (Edward Arnold, 1991). * (13)W. Anderson _et al_, Phys. Rev. D **63**, 042003 (2001). * (14)J. Sylvestre, Phys. Rev. D **68**, 102005 (2003). * (15)N. Arnaud _et al_, Phys. Rev. D...
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The language evolution presented in Figure 13 (time from left to right) shows how a metastable state is reached, where three languages survive. The state shown in the right picture survives for some time, but ultimately the upper language is able to completely eliminate the lower two ones, because it initially occupies...
[ { "caption": "Figure 12: Simulation of the coexistence of three languages.", "captionBoundary": { "x1": 188, "x2": 552, "y1": 239, "y2": 247 }, "figType": "Figure", "imageText": [], "name": "12", "regionBoundary": { "x1": 126, "x2": 619, "y1": 57...
erformed for some values of \(\rho\) as indicated in the figure. For all \(\rho\) examined the data show a power-law behavior \(N\propto\ell^{d_{f}}\). We find \(2<d_{f}<4\), the full set of \(d_{f}\) is shown in Table 1. Two limit cases are interesting. The limit \(\rho\to 1\), which corresponds to the square lattice,...
[ { "caption": "FIG. 4: In (a) it is displayed the average distance ℓ as a function of N for several values of ρ.", "captionBoundary": { "x1": 96, "x2": 694, "y1": 530, "y2": 537 }, "figType": "Figure", "imageText": [], "name": "4", "regionBoundary": { "x1": 2...
**Searching for effects of Spatial Noncommutativity via a Penning Trap** Jian-Zu Zhang\(\;{}^{\ast}\) Institute for Theoretical Physics, East China University of Science and Technology, Box 316, Shanghai 200237, P. R. China ###### Abstract The possibility of testing spatial noncommutativity via a Penning trap is ex...
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\[T(u_{1},v_{1},u_{2},v_{2})=V(u_{1},v_{1})\,V(u_{2},v_{2})\,V^{*}(u_{1}+u_{2},v _{1}+v_{2})\,.\] (3) ### Noise model for triple product The data are assumed to be complex triple products averaged over a large number of "exposures". In such a case, the noise can be fully described in terms of a Gaussian noise ellipse...
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* [2003] Ricotti M. 2003, MNRAS, 344, 1237 (2003MNRAS.344.1237R) * [2004] Sand D.J., Treu T., Smith G.P., Ellis R.S., 2004, ApJ, 604, 88 (2004ApJ...604...88S) * [1999] Sheth, R.K., Lemson G., 1999a, MNRAS, 304, 767 (1999MNRAS.304..767S) * [1999] Sheth, R.K., Lemson G., 1999b, MNRAS, 305, 946 (1999MNRAS.305..946S) * [19...
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balances the interfacial tension cost of expanding the region between particles. It seems likely that a related transition is occurring here as we slowly reduce the interfacial tension and internal volume. We suggested above that puncturing of the droplet surface may have led to the observed deflation. We have associa...
[ { "caption": "Figure 3. Images of a heptane-in-methanol droplet cracking. Beginning in the top left-hand corner, there is one frame every 30 seconds with each 1◦C higher in temperature than the previous. The bulk demixing temperature is in the middle of this sequence. The images are at a depth of 40 µm from the...
## References * [1] M. Sigrist, Air Monitoring by Spectroscopic Techniques (John Wiley & Sons, New York, 1994). * [2] M. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1991). * [3]J. U. Nockel, A. D. Stone, _Ray and wave chaos in asymmetric resonant optical cavities_, Nature **385**, ...
[ { "caption": "Figure 3: (a) Plot of the leading edges of five detected pulses with varying time delays corresponding to (left-to-right) 1, 4, 5, 7, and 8 passes through the cavity. (b) Pulse time delay data for 8 pass (dotted) and single pass (dashed) alignment: a difference of 5.0 ns ( 152 cm) between the mult...
We can carry out similar calculations for the level set \[\varphi_{1}=x_{1}x_{2}x_{3}x_{4}-H_{1},\quad\varphi_{2}=(1-x_{1})(1-x_{2})(1-x _{3})(1-x_{4})-H_{2},\] \[\varphi_{3}=(1-x_{2}x_{4})(1-x_{1}x_{3})-H_{3},\] (27) and the function \[f_{1}(\bm{x})=x_{1}{1-x_{2}+x_{2}x_{3}-x_{2}x_{3}x_{4}\over 1-x_{4}+x_{4}x_{1} ...
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* [21] **T. Padmanabhan, gr-qc/0503107; J.S. Bagla, H.K. Jassal and T. Padmanabhan, astro-ph/0212198.** * [22] **S. Kachru, R. Kallosh, A. Linde and S.P. Trivedi, Phys. Rev. D68 (2003) 046005,** hep-th/0301240**.** * [23] **U. Seljak, astro-ph/0407372; C.L. Bennett** _et al._**, Astrophys. J. Suppl, 148 (2003) 1,** hep...
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structure is governed by the exceptional Lie algebra \(E_{11-d}\); the gauge charges transform in a fundamental representation of this algebra, while the scalar fields parameterize a coset space \(G/H\) where \(G\) is the maximally
[ { "caption": "Table 1 – String/M theories, holonomy groups and the resulting supersymmetry", "captionBoundary": { "x1": 148, "x2": 666, "y1": 698, "y2": 725 }, "figType": "Table", "imageText": [ "HE,HO,", "I", "torus", "any", "16", "max...
* *Image quality: FWHM <=reff['']/20, where \(r_{\rm eff}\) is the half-light radius of the galaxy. * *Integration time: \(t=\)S/N\(\cdot 10^{0.4\cdot(\mu_{\rm gal}-\mu_{\rm sky}+DM+\overline{M}-m_{1})}\), where \(\mu_{\rm gal}\) is the mean surface brightness of the galaxy, \(\mu_{\rm sky}\) the surface brightness of ...
[ { "caption": "Figure 1. An illustration how the signal-to-noise in the SBF power spectrum increases with length of exposure time and galaxy surface brightness at the distance of the Fornax Cluster.", "captionBoundary": { "x1": 134, "x2": 632, "y1": 543, "y2": 562 }, "figType"...
## References * [1] J. Gasser and H. Leutwyler, Annals Phys. **158**, 142 (1984). J. Gasser and H. Leutwyler, Nucl. Phys. B **250**, 465 (1985). * [2] G. Colangelo, J. Gasser and H. Leutwyler, Nucl. Phys. B **603**, 125 (2001) [arXiv:hep-ph/0103088]. * [3] N. Cabibbo and A. Maksymowicz, Phys. Rev. **137**, 438 (1965)....
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nevertheless, loses force in regularization-free schemes like BPHZ and Epstein-Glaser renormalization, that also possess a Rota-Baxter property [16]. ### Acknowledgments KE-F is grateful to the Theory Department at the Physics Institute of Bonn University for support. JMG-B thanks MEC, Spain, for support through a 'R...
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## 2 The model We investigate undirected random networks with specified degree distributions1strog1 . Let \(p_{k}\) be the probability of a node having a degree k. As in previous research we will make great use of the probability generating function (PGF) corresponding to the degree distribution. Footnote 1: The _d...
[ { "caption": "Table 1. A summary of the nonlinear differential equations used to the describe the spread of a simple SIR type epidemic through a random network. The degree distribution of the network is generated by g(x).", "captionBoundary": { "x1": 96, "x2": 530, "y1": 265, "y2": 3...
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