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

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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 O1/N . 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.

Original languageEnglish
Article number023202
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2022
Issue number2
DOIs
Publication statusPublished - Feb 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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