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Condensed Matter > Statistical Mechanics
Title: Blume-Capel model analysis with microcanonical population annealing method
(Submitted on 29 Feb 2024 (v1), last revised 17 Apr 2024 (this version, v3))
Abstract: We present a modification of the Rose-Machta algorithm (Phys. Rev. E 100 (2019) 063304) and estimate the density of states for a two-dimensional Blume-Capel model, simulating $10^5$ replicas in parallel for each set of parameters. We perform a finite-size analysis of the specific heat and Binder cumulant, determine the critical temperature along the critical line, and evaluate the critical exponents. The results obtained are in good agreement with those obtained previously using various methods -- Markov Chain Monte Carlo simulation, Wang-Landau simulation, transfer matrix, and series expansion. The simulation results clearly illustrate the typical behavior of specific heat along the critical lines and through the tricritical point.
Submission history
From: Lev N. Shchur [view email][v1] Thu, 29 Feb 2024 09:39:39 GMT (456kb,D)
[v2] Sat, 16 Mar 2024 18:33:25 GMT (456kb,D)
[v3] Wed, 17 Apr 2024 20:06:35 GMT (433kb,D)
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