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  • 1
    Digitale Medien
    Digitale Medien
    Phase diagram for the Bethe lattice spin glass (abstract) (1988)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 63 (1988), S. 4001-4001 
    Details
    ISSN: 1089-7550
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: We present the results of rigorous calculations for the ±J Ising spin-glass model on the Bethe lattice. The phase diagram for varying temperature and fraction of ferromagnetic bonds is derived near the paramagnetic phase boundary. In addition to the spin-glass and paramagnetic phases, we find a nontrivial ferromagnetic phase and a magnetized spin-glass phase, characterized by diverging Edwards–Anderson susceptibility. The recursion relation for the distribution of single-site magnetizations is studied as a dynamical system on an appropriate function space, the bulk thermodynamics is described by the attractors of the recursion relation, and the phase transitions correspond to bifurcations in the dynamics. Using bifurcation theory, we establish the existence of a stable distribution of single-site magnetizations near the paramagnetic phase boundary. At least in single-site properties, the existence proof precludes chaos, and infinite hierarchy of transitions, and other conceivable bizarre possibilities. While our phase diagram is very similar to the phase diagram for the Sherrington–Kirkpatrick model, the Bethe lattice provides a useful description of the mean-field behavior of spin glasses because the interactions are short range, the analysis is much more straightforward, and the results have been made completely rigorous.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.340577
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  • 2
    Digitale Medien
    Digitale Medien
    Topological interpretations of quantum Hall conductance (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 5362-5372 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The high precision of the quantum Hall effect is cited as evidence that the Hall conductance is a topological quantum number invariant under reasonably small perturbations. In this article a survey is made of the Hall conductance as a topological quantum number, of relations between the various interpretations of the integer quantum Hall effect, and of their generalization to the fractional quantum Hall effect.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.530757
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  • 3
    Digitale Medien
    Digitale Medien
    Simple classical vibrator (1979)
    [s.l.] : Nature Publishing Group
    Nature 280 (1979), S. 92-92 
    Details
    ISSN: 1476-4687
    Quelle: Nature Archives 1869 - 2009
    Thema: Biologie , Chemie und Pharmazie , Medizin , Allgemeine Naturwissenschaft , Physik
    Notizen: [Auszug] THIS is the first volume, devoted to the simple classical vibrator, of a work on the physics of vibration. It is designed to bridge the gap between undergraduate textbooks on the subject and specialist treatises. It ranges widely, discussing not only the obvious examples from mechanics, elementary ...
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1038/280092b0
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  • 4
    Digitale Medien
    Digitale Medien
    Causality and Tachyons (1969)
    [s.l.] : Nature Publishing Group
    Nature 224 (1969), S. 506-506 
    Details
    ISSN: 1476-4687
    Quelle: Nature Archives 1869 - 2009
    Thema: Biologie , Chemie und Pharmazie , Medizin , Allgemeine Naturwissenschaft , Physik
    Notizen: [Auszug] A tachyon is supposed to have the following properties3. Its velocity is always greater than the velocity of light and increases as the energy is reduced. As the energy tends to zero, the velocity increases to infinity, but the momentum is never less than some definite lower limit. As a result of ...
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1038/224506a0
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  • 5
    Digitale Medien
    Digitale Medien
    Scaling for the discrete Mathieu equation (1990)
    Springer
    Communications in mathematical physics 127 (1990), S. 187-193 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract The scaling of the total width of the band for the discrete Mathieu equation is studied in the critical region near the transition between localized and extended states, for the special case in which there is one period of the modulation forp lattice spacings. A general expression for the bandwidthW in the critical region is found. At the critical point an analytic expression forpW is found which agrees to one part in 108 with the result deduced from numerical work.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02096501
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  • 6
    Digitale Medien
    Digitale Medien
    A mean field spin glass with short-range interactions (1986)
    Springer
    Communications in mathematical physics 106 (1986), S. 41-89 
    Details
    ISSN: 1432-0916
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract We formulate and study a spin glass model on the Bethe lattice. Appropriate boundary fields replace the traditional self-consistent methods; they give our model well-defined thermodynamic properties. We establish that there is a spin glass transition temperature above which the single-site magnetizations vanish, and below which the Edwards-Anderson order parameter is strictly positive. In a neighborhood below the transition temperature, we use bifurcation theory to establish the existence of a nontrivial distribution of single-site magnetizations. Two properties of this distribution are studied: the leading perturbative correction to the Gaussian scaling form at the transition, and the (nonperturbative) behavior of the tails.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01210926
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  • 7
    Digitale Medien
    Digitale Medien
    Bethe lattice spin glass: The effects of a ferromagnetic bias and external fields. I. Bifurcation analysis (1990)
    Springer
    Journal of statistical physics 61 (1990), S. 987-1067 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Spin glass ; Bethe lattice ; bifurcation ; critical phenomena
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We present a rigorous analysis of the ±J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize the bulk ordered phases using bifurcation theory: we prove the existence of a distribution of single-site magnetizations far inside the lattice which is stable with respect to changes in the boundary conditions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01014364
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  • 8
    Digitale Medien
    Digitale Medien
    Bethe lattice spin glass: The effects of a ferromagnetic bias and external fields. II. Magnetized spin-glass phase and the de Almeida-Thouless line (1990)
    Springer
    Journal of statistical physics 61 (1990), S. 1069-1084 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Spin glass ; Bethe lattice ; multicritical point
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract In this and the companion paper, we analyze the ±J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize magnetized spin-glass (MSG) phases by divergence of an appropriate susceptibility: at zero field this signals the existence of an intermediate MSG phase; at nonzero field, this is used to identify the de Almeida-Thouless line.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01014365
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  • 9
    Digitale Medien
    Digitale Medien
    Iordanskii and Lifshitz-Pitaevskii Forces in the Two-Fluid Model (2000)
    Springer
    Journal of low temperature physics 121 (2000), S. 411-416 
    Details
    ISSN: 1573-7357
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract It has been known since the pioneering work of Onsager and Feynman that the statistical mechanics and dynamics of vortices play an essential role in the behavior of superfluids and superconductors. However, the theory of vortices in quantum fluids remains in a most unsatisfactory state, with many conflicting results in the literature. In this paper we review the theory of Thouless, Ao and Niu, which gives an expression for the total transverse force acting on a quantized vortex that is in apparent disagreement with the word of lordanskii and of Lifshitz and Pitaevskii. In particular, no transverse force proportional to the asymptotic normal fluid velocity was found. We use two-fluid hydrodynamics to study this discrepancy.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1017553814235
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