Non-equilibrium Relations for Spin Glasses with Gauge Symmetry

Details Non-equilibrium Relations for Spin Glasses with Gauge Symmetry Non-equilibrium Relations for Spin Glasses with Gauge Symmetry

2010-04-14

arxiv.org/abs/1004.2389v1

J. Phys. Soc. Jpn., Vol.79, No.8, p.084003 2010

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 2 figures, submitted to JPSJ

Scientific paper

10.1143/JPSJ.79.084003

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.

Affiliated with

Also associated with

No associations

Rating

Non-equilibrium Relations for Spin Glasses with Gauge Symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-equilibrium Relations for Spin Glasses with Gauge Symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-equilibrium Relations for Spin Glasses with Gauge Symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527645