Chaos in temperature in the Sherrington-Kirkpatrick model

Details Chaos in temperature in the Sherrington-Kirkpatrick model Chaos in temperature in the Sherrington-Kirkpatrick model

2002-09-16

arxiv.org/abs/cond-mat/0209333v1

Physical Review Letters 90, 137201 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

REVTEX, 6 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.90.137201

We prove the existence of chaos in temperature in the Sherringhton-Kirkpatrick model. The effect is exceedingly small, namely of the ninth order in perturbation theory. The equations describing two systems at different temperatures constrained to have a fixed overlap are studied analytically and numerically, yielding information about the behaviour of the overlap distribution function $P_{T_1,T_2}(q)$ in finite-size systems.

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