Nonequilibrium Relations for Spin Glasses with Gauge Symmetry
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概要
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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.
- Physical Society of Japanの論文
- 2010-08-15
著者
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Nishimori Hidetoshi
Department Of Physics Facuilty Of Science Tokyo Institute Of Technology
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Ohzeki Masayuki
Department Of Physics Tokyo Institute Of Technology
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Hidetoshi Nishimori
Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152-8551, Japan
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