Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:2-4-4
Session:
Number:2-4-4-1
A Deterministic Ising Model Evolving in Quantized Heat Bath
Mie Saeki, Yumi Niinai, Hisato Fujisaka, Takeshi Kamio,
pp.365-368
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
In this paper we present a dynamical Ising model evolving according to deterministic rules. We build the model by removing kinetic terms from local Hamiltonians of the Creutz model and putting it in a quantized heat bath. The bath is filled with heat particles which possess {+1, ?1}-values and move pseudo-randomly like the Brownian particles. Evolution of spins is determined by comparing the interaction energy between the spins and the values the heat particles have. We found by numerical experiments that the steady states of the proposed model agree with the states of macroscopic statistical-mechanical models.