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dc.creatorPrados Montaño, Antonioes
dc.date.accessioned2022-06-30T08:11:57Z
dc.date.available2022-06-30T08:11:57Z
dc.date.issued2021
dc.identifier.citationPrados Montaño, A. (2021). Optimizing the relaxation route with optimal control. Physical Review Research, 3 (2), 023128.
dc.identifier.issn2643-1564es
dc.identifier.urihttps://hdl.handle.net/11441/134820
dc.description.abstractWe look into the minimization of the connection time between nonequilibrium steady states. As a prototypical example of an intrinsically nonequilibrium system, a driven granular gas is considered. For time-independent driving, its natural time scale for relaxation is characterized from an empirical (the relaxation function) and a theoretical (the recently derived classical speed limits) point of view. Using control theory, we find that bang-bang protocols (comprising two steps, heating with the largest possible value of the driving and cooling with zero driving) minimize the connecting time. The bang-bang time is shorter than both the empirical relaxation time and the classical speed limit: in this sense, the natural time scale for relaxation is beaten. Information theory quantities stemming from the Fisher information are also analyzed over these optimal protocols. The implementation of the bang-bang processes in numerical simulations of the dynamics of the granular gas show an excellent agreement with the theoretical predictions. Moreover, general implications of our results are discussed for a wide class of driven nonequilibrium systems. Specifically, we show that analogous bang-bang protocols, with a number of bangs equal to the number of relevant physical variables, give the minimum connecting time under quite general conditions.es
dc.description.sponsorshipFEDER/Ministerio de Ciencia e Innovación–Agencia Estatal de Investigación PGC2018-093998-B-I00es
dc.formatapplication/pdfes
dc.format.extent22 p.es
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.ispartofPhysical Review Research, 3 (2), 023128.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleOptimizing the relaxation route with optimal controles
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Atómica, Molecular y Nucleares
dc.relation.projectIDPGC2018-093998-B-I00es
dc.relation.publisherversionhttps://dx.doi.org/10.1103/PhysRevResearch.3.023128es
dc.identifier.doi10.1103/PhysRevResearch.3.023128es
dc.journaltitlePhysical Review Researches
dc.publication.volumen3es
dc.publication.issue2es
dc.publication.initialPage023128es
dc.contributor.funderAgencia Estatal de Investigación. Españaes
dc.contributor.funderEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)es

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional