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Chaos in temperature in the Sherrington-Kirkpatrick model

Tommaso Rizzo·Andrea Crisanti
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Abstract

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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Tommaso Rizzo, Andrea Crisanti. 2002-09-16. Chaos in temperature in the Sherrington-Kirkpatrick model. https://doi.org/10.1103/physrevlett.90.137201

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