Magnetic field chaos in the SK Model

Details Magnetic field chaos in the SK Model Magnetic field chaos in the SK Model

2002-10-22

arxiv.org/abs/cond-mat/0210489v1

Phys. Rev. E 67, 036108 (2003).

Physics

Condensed Matter

Statistical Mechanics

Latex, 16 pages including 20 postscript figures

Scientific paper

10.1103/PhysRevE.67.036108

We study the Sherrington--Kirkpatrick model, both above and below the De Almeida Thouless line, by using a modified version of the Parallel Tempering algorithm in which the system is allowed to move between different values of the magnetic field h. The behavior of the probability distribution of the overlap between two replicas at different values of the magnetic field h_0 and h_1 gives clear evidence for the presence of magnetic field chaos already for moderate system sizes, in contrast to the case of temperature chaos, which is not visible on system sizes that can currently be thermalized.

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