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

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

1998-12-09

arxiv.org/abs/cond-mat/9812146v1

Phys. Rev., B59 (1999), 6717

Physics

Condensed Matter

Disordered Systems and Neural Networks

to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.59.6717

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 $\gamma$ 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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