1210.7411 (Chiaki Yamaguchi)

Proposal of a Checking Parameter in the Simulated Annealing Method
Applied to the Spin Glass Model    [PDF]

Chiaki Yamaguchi

We propose a checking parameter utilizing the breaking of the Jarzynski equality in the simulated annealing method using the Monte Carlo method. This parameter is obtained by applying the Jarzynski equality, and is convenient to investigate the efficiency of annealing schedules. By using this parameter, it is detected that the system is not in local minima of the free energy and the system has reached equilibrium or near-equilibrium. For the spin glass model, we consider the application to the +-J Ising spin glass model. The application to the Gaussian Ising spin glass model is also mentioned. We discuss that the breaking of the Jarzynski equality in this study is reduced by the system being trapped in local minima of the free energy. As an example, we perform a Monte Carlo simulation to the +-J Ising spin glass model, and show the efficiency of the use of the present parameter.

View original: http://arxiv.org/abs/1210.7411