dc.creator | Prados Montaño, Antonio | es |
dc.date.accessioned | 2022-06-30T08:11:57Z | |
dc.date.available | 2022-06-30T08:11:57Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Prados Montaño, A. (2021). Optimizing the relaxation route with optimal control. Physical Review Research, 3 (2), 023128. | |
dc.identifier.issn | 2643-1564 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134820 | |
dc.description.abstract | We 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.sponsorship | FEDER/Ministerio de Ciencia e Innovación–Agencia Estatal de Investigación PGC2018-093998-B-I00 | es |
dc.format | application/pdf | es |
dc.format.extent | 22 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Physical Society | es |
dc.relation.ispartof | Physical Review Research, 3 (2), 023128. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Optimizing the relaxation route with optimal control | 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 | PGC2018-093998-B-I00 | es |
dc.relation.publisherversion | https://dx.doi.org/10.1103/PhysRevResearch.3.023128 | es |
dc.identifier.doi | 10.1103/PhysRevResearch.3.023128 | es |
dc.journaltitle | Physical Review Research | es |
dc.publication.volumen | 3 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 023128 | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |