Nonequilibrium Relations for Spin Glasses with Gauge Symmetry

作者：Ohzeki Masayuki^*; Nishimori Hidetoshi

来源：Journal of the Physical Society of Japan, 2010, 79(8): 084003.

DOI：10.1143/JPSJ.79.084003

• Jarzynski equality
• spin glass
• gauge symmetry

We study the applications of nonequilibrium 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 nonequilibrium process of temperature change. We also prove identities that relate equilibrium and nonequilibrium quantities. These identities suggest a method of evaluating equilibrium quantities from nonequilibrium computations, which may be useful for avoiding the problem of slow relaxation in spin glasses.

• 出版日期2010-8