Moment-generating function zeros in the study of phase transitions

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dc.creatorRonaldo Givisiez Melo Rodrigues
dc.creatorBismarck Vaz da Costa
dc.creatorLucas Alvares da Silva Mól
dc.date.accessioned2025-02-20T18:36:52Z
dc.date.accessioned2025-09-09T01:20:58Z
dc.date.available2025-02-20T18:36:52Z
dc.date.issued2021
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.104.064103
dc.identifier.issn2470-0053
dc.identifier.urihttps://hdl.handle.net/1843/80265
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofPhysical Review E
dc.rightsAcesso Restrito
dc.subjectTransições de fases
dc.subjectMétodo de Monte Carlo
dc.subject.otherPhase transitions
dc.subject.otherLee-Yang & Fisher zeroes
dc.subject.otherMonte Carlo methods
dc.titleMoment-generating function zeros in the study of phase transitions
dc.typeArtigo de periódico
local.citation.epage064103-7
local.citation.issue6
local.citation.spage064103-1
local.citation.volume104
local.description.resumoPartition function zeros play a central role in the study of phase transitions. Recently, energy probability distribution (EPD) zeros were proposed as an alternative approach that solves some of the implementation issues present in the Fisher zeros method by allowing drastic reduction of the polynomial. Here, a formulation based on the EPD zeros that can reduce even more the polynomial degree while maintaining its accuracy is presented. This method has shown to be computationally cheaper than the EPD zeros, allowing the study of systems by using partition function zeros that would be unfeasible otherwise. In addition, the method can be easily extended to study phase transitions in external fields while maintaining all of its improvements.
local.identifier.orcidhttps://orcid.org/0000-0002-1232-3400
local.identifier.orcidhttps://orcid.org/0000-0002-0166-4162
local.identifier.orcidhttps://orcid.org/0000-0002-5001-0499
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.104.064103

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