Non-equilibrium Relations for Spin Glasses with Gauge Symmetry

Masayuki Ohzeki; Hidetoshi Nishimori

doi:10.1143/jpsj.79.084003

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arXiv · 1004.2389

Non-equilibrium Relations for Spin Glasses with Gauge Symmetry

Masayuki Ohzeki·Hidetoshi Nishimori

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Abstract

We study the applications of non-equilibrium relations such as the Jarzynski equality and fluctuation theorem to spin glasses with gauge symmetry. It is shown that the exponentiated free-energy difference appearing in the Jarzynski equality reduces to a simple analytic function written explicitly in terms of the initial and final temperatures if the temperature satisfies a certain condition related to gauge symmetry. This result is used to derive a lower bound on the work done during the non-equilibrium process of temperature change. We also prove identities relating equilibrium and non-equilibrium quantities. These identities suggest a method to evaluate equilibrium quantities from non-equilibrium computations, which may be useful to avoid the problem of slow relaxation in spin glasses.

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BibTeX RIS

Masayuki Ohzeki, Hidetoshi Nishimori. 2010-04-14. Non-equilibrium Relations for Spin Glasses with Gauge Symmetry. https://doi.org/10.1143/jpsj.79.084003

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