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Title: Critical exponents in mean-field classical spin systems
Authors: Yamaguchi, Yoshiyuki Y.
Das, Debraj
Gupta, Shamik
Author's alias: 山口, 義幸
Issue Date: Sep-2019
Publisher: American Physical Society (APS)
Journal title: Physical Review E
Volume: 100
Issue: 3
Thesis number: 032131
Abstract: For mean-field classical spin systems exhibiting a second-order phase transition in the stationary state, we obtain within the corresponding phase-space evolution according to the Vlasov equation the values of the critical exponents describing power-law behavior of response to a small external field. The exponent values so obtained significantly differ from the ones obtained on the basis of an analysis of the static phase-space distribution, with no reference to dynamics. This work serves as an illustration that cautions against relying on a static approach, with no reference to the dynamical evolution, to extract critical exponent values for mean-field systems.
Rights: ©2019 American Physical Society
DOI(Published Version): 10.1103/PhysRevE.100.032131
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