Analysis of finite-size effect of infinite-range Ising model under Glauber dynamics

Abstract

We consider an infinite-range Ising model under the Glauber dynamics and determine the finite-size effect on the distribution of two spin variables as a perturbation of $O\left(1/N\right)$. Based on several considerations, ordinary differential equations are derived for describing the time development of both a two-body correlation and the autocorrelation function of magnetization. The results of the calculation fit the simulation results, unless the perturbation theory breaks down because of critical phenomena or magnetization reversal.

arXiv comment23 pages, 2 figures

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Cited by in corpus (1)

• Analysis of the finite-size effect of the long-range Ising model under Glauber dynamics