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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Analyzing and validating simulated tempering implementations at phase transition regimes?

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Author(s):
Macias-Medri, A. E. [1] ; Fiore, Carlos E. [2] ; da Luz, M. G. E. [1]
Total Authors: 3
Affiliation:
[1] Univ Fed Parana, Dept Fis, CP 19044, BR-81531980 Curitiba, Parana - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMPUTER PHYSICS COMMUNICATIONS; v. 260, MAR 2021.
Web of Science Citations: 0
Abstract

This work presents a comprehensive analysis of key elements determining the efficiency of Simulated Tempering implementations for lattice models. Important aspects like the proper choice of the replicas temperature set Upsilon(R), their quantity R and adequate estimation of the weight factors (establishing the probabilities of jumps between the replicas) are considered. A number of tests to validate distinct ST implementations - as well as to characterize convergence and fluctuations (this latter, after reaching the steady condition) of the thermodynamic estimators - is proposed. Also, by combining the ST method with the so called fixed exchange frequency protocol (to determine Upsilon(R)), a new procedure to calculate critical temperatures is developed. As cases studies, two commonly addressed lattice models are discussed, the Blume-Emery-Griffiths and Bell-Lavis. Their detailed investigation at the coexistence condition or under first order phase transition regimes allows to properly inspect factors like, pace of convergence, tunneling between replicas and minimal values of the highest replica temperature T-R, affecting a good overall performance of the ST method. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/02405-1 - Temporal disorder and entropy production in nonequilibrium systems with symmetry Z2
Grantee:Carlos Eduardo Fiore dos Santos
Support Opportunities: Regular Research Grants