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Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/41737
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dc.creatorLeonardo Ferreira Calazanspt_BR
dc.creatorRonald Dickmanpt_BR
dc.date.accessioned2022-05-17T12:13:45Z-
dc.date.available2022-05-17T12:13:45Z-
dc.date.issued2019-03-28-
dc.citation.volume99pt_BR
dc.citation.issue3pt_BR
dc.citation.spage032137-1pt_BR
dc.citation.epage032137-11pt_BR
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.99.032137pt_BR
dc.identifier.issn2470-0053pt_BR
dc.identifier.urihttp://hdl.handle.net/1843/41737-
dc.description.resumoDefining an entropy function out of equilibrium is an outstanding challenge. For stochastic lattice models in spatially uniform nonequilibrium steady states, definitions of temperature T and chemical potential μ have been verified using coexistence with heat and particle reservoirs. For an appropriate choice of exchange rates, T and μ satisfy the zeroth law, marking an important step in the development of steady-state thermodynamics. These results suggest that an associated steady-state entropy Sth be constructed via thermodynamic integration, using relations such as (∂S/∂E)V,N = 1/T , ensuring that derivatives of Sth with respect to energy and particle number yield the expected intensive parameters. We determine via direct calculation the stationary nonequilibrium probability distribution of the driven lattice gas with nearest-neighbor exclusion, the Katz-Lebowitz-Spohn driven lattice gas, and a two-temperature Ising model so that we may evaluate the Shannon entropy SS as well as Sth defined above. Although the two entropies are identical in equilibrium (as expected), they differ out of equilibrium; for small values of the drive, D, we find |SS − Sth| ∝ D2, as expected on the basis of symmetry. We verify that Sth is not a state function: changes Sth depend not only on the initial and final points, but also on the path in parameter space. The inequivalence of SS and Sth implies that derivatives of SS are not predictive of coexistence. In other words, a nonequilibrium steady state is not determined by maximizing the Shannon entropy. Our results cast doubt on the possibility of defining a state function that plays the role of a thermodynamic entropy for nonequilibrium steady states.pt_BR
dc.languageengpt_BR
dc.publisherUniversidade Federal de Minas Geraispt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentICX - DEPARTAMENTO DE FÍSICApt_BR
dc.publisher.initialsUFMGpt_BR
dc.relation.ispartofPhysical Review Ept_BR
dc.rightsAcesso Restritopt_BR
dc.subjectThermodynamicspt_BR
dc.subjectSistemas fora de equilíbriopt_BR
dc.subjectGás de rede dirigidopt_BR
dc.subjectEntropypt_BR
dc.subject.otherTermodinâmicapt_BR
dc.subject.otherGás de redept_BR
dc.subject.otherEntropiapt_BR
dc.titleSteady-state entropy: a proposal based on thermodynamic integrationpt_BR
dc.typeArtigo de Periódicopt_BR
dc.url.externahttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.032137pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-3320-3587pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-2378-9393pt_BR
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