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Monte Carlo Simulations of a Generalized n--spin facilitated kinetic Ising Model

B. Zheng·M. Schulz·S. Trimper
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Abstract

A kinetic Ising model is analyzed where spin variables correspond to lattice cells with mobile or immobile particles. Introducing additional restrictions for the flip processes according to the n-spin facilitated kinetic Ising model and using Monte Carlo methods we study the freezing process under the influence of an additional nearest-neighbor interaction. The stretched exponential decay of the auto-correlation function is observed and the exponent $γ$ as well as the relaxation time are determined depending on the activation energy $h$ and the short range coupling $J$. The magnetization corresponding to the density of immobile particles is found to be the controlling parameter for the dynamic evolution.

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B. Zheng, M. Schulz, S. Trimper. 1998-12-09. Monte Carlo Simulations of a Generalized n--spin facilitated kinetic Ising Model. https://doi.org/10.1103/physrevb.59.6717

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