Abstract
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.
Original language | English |
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Article number | 084003 |
Journal | journal of the physical society of japan |
Volume | 79 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2010 Aug |
Externally published | Yes |
Keywords
- Gauge symmetry
- Jarzynski equality
- Spin glass
ASJC Scopus subject areas
- Physics and Astronomy(all)