dc.creator | Prados Montaño, Antonio | es |
dc.creator | Lasanta Becerra, Antonio | es |
dc.creator | Hurtado, Pablo I. | es |
dc.date.accessioned | 2020-05-13T08:41:02Z | |
dc.date.available | 2020-05-13T08:41:02Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Prados Montaño, A., Lasanta Becerra, A. y Hurtado, P.I. (2012). Nonlinear driven diffusive systems with dissipation: Fluctuating hydrodynamics. Physical Review E, 86 (3), 031134-1-031134-16. | |
dc.identifier.issn | 1550-2376 | es |
dc.identifier.uri | https://hdl.handle.net/11441/96531 | |
dc.description.abstract | We consider a general class of nonlinear diffusive models with bulk dissipation and boundary driving and
derive its hydrodynamic description in the large size limit. Both the average macroscopic behavior and the
fluctuating properties of the hydrodynamic fields are obtained from the microscopic dynamics. This analysis
yields a fluctuating balance equation for the local energy density at the mesoscopic level, characterized by two
terms: (i) a diffusive term, with a current that fluctuates around its average behavior given by nonlinear Fourier’s
law, and (ii) a dissipation term which is a general function of the local energy density. The quasielasticity of
microscopic dynamics, required in order to have a nontrivial competition between diffusion and dissipation in
the macroscopic limit, implies a noiseless dissipation term in the balance equation, so dissipation fluctuations
are enslaved to those of the density field. The microscopic complexity is thus condensed in just three transport
coefficients—the diffusivity, the mobility, and a new dissipation coefficient—which are explicitly calculated
within a local equilibrium approximation. Interestingly, the diffusivity and mobility coefficients obey an Einstein
relation despite the fully nonequilibrium character of the problem. The general theory here presented is applied
to a particular albeit broad family of systems, the simplest nonlinear dissipative variant of the so-called KMP
model for heat transport. The theoretical predictions are compared to extensive numerical simulations, and an
excellent agreement is found. | es |
dc.description.sponsorship | España Ministerio de Economía y Competitividad Projects No. FIS2011-24460 and No. FIS2009-08451 | es |
dc.description.sponsorship | EU-FEDER funds, and Junta de Andalucía Projects No. P07-FQM02725 and No. P09- FQM4682 | es |
dc.format | application/pdf | es |
dc.format.extent | 16 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review E, 86 (3), 031134-1-031134-16. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Nonlinear driven diffusive systems with dissipation: Fluctuating hydrodynamics | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear | es |
dc.relation.projectID | No. FIS2011-24460 and No. FIS2009-08451 | es |
dc.relation.projectID | P07-FQM02725 and No. P09- FQM4682 | es |
dc.relation.publisherversion | https://doi.org/10.1103/PhysRevE.86.031134 | es |
dc.identifier.doi | 10.1103/PhysRevE.86.031134 | es |
dc.journaltitle | Physical Review E | es |
dc.publication.volumen | 86 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 031134-1 | es |
dc.publication.endPage | 031134-16 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |