TY - JOUR
T1 - Analysis of finite-size effect of infinite-range Ising model under Glauber dynamics
AU - Komatsu, Hisato
N1 - Funding Information:
The present study was supported by the Grant-in-Aid for Early-Career Scientists (No. 21K13857) from the Japan Society for the Promotion of Science (JSPS). A part of the numerical calculations were performed on the Numerical Materials Simulator at the National Institute for Materials Science.
Publisher Copyright:
© 2022 IOP Publishing Ltd and SISSA Medialab srl.
PY - 2022/2
Y1 - 2022/2
N2 - 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.
AB - 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.
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U2 - 10.1088/1742-5468/ac4984
DO - 10.1088/1742-5468/ac4984
M3 - Article
AN - SCOPUS:85125839634
VL - 2022
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
IS - 2
M1 - 023202
ER -