Equivalence of statistical-mechanical and dynamic descriptions of the infinite-range Ising spin-glass

Dasgupta, C. ; Sompolinsky, H. (1983) Equivalence of statistical-mechanical and dynamic descriptions of the infinite-range Ising spin-glass Physical Review B: Condensed Matter and Materials Physics, 27 (7). pp. 4511-4514. ISSN 1098-0121

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Official URL: http://prb.aps.org/abstract/PRB/v27/i7/p4511_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.27.4511

Abstract

We prove the equivalence between the dynamic mean-field theory of the Ising spin-glass and the statistical-mechanical theory of Thouless, Anderson, and Palmer (TAP). Individual low-free-energy TAP solutions describe short-time properties, whereas thermodynamic equilibrium corresponds to averaging over all such solutions. The square of the staggered magnetization associated with the largest eigenvalue of the interaction matrix scales as N5/6 (N is the number of spins). Results are confirmed by Monte Carlo simulation and numerical solution of the TAP equations.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:83238
Deposited On:17 Feb 2012 04:07
Last Modified:17 Feb 2012 04:07

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