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Prog. Theor. Phys. Supplement No.138 (2000) pp. 462-463

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Identification of Metastable States in Finite Temperature Simulations: A Self-Organization Approach

Yukito Iba1,* and Koji Hukushima2,**

1The Institute of Statistical Mathematics, Tokyo 106-8569, Japan
2 Institute for Solid State Physics, University of Tokyo, Tokyo 106-8666, Japan

(Received October 11, 1999)

Abstract:

How can we identify “metastable states” from a simulation of a finite size system at finite temperatures? Here we propose a self-organization approach to this problem based on a finite mixture model and Expectation-Maximization (EM) algorithm and apply it to the analysis of Monte Carlo simulation of Ising spin glass models.


URL : http://ptp.ipap.jp/link?PTPS/138/462/
DOI : 10.1143/PTPS.138.462


*E-mail address: iba@ism.ac.jp
**E-mail address: hukusima@chiral.issp.u-tokyo.ac.jp

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References:

  1. D. M. Titterington, A. F. M. Smith and U. E. Makov, Statistical Analysis of Finite Mixture Distributions (John Wiley and Sons, Chichester, 1985).