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Microscopically Reversible Pathways with Memory

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Microscopically Reversible Pathways with Memory

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dc.contributor.author Arias-Gonzalez, J. R. es_ES
dc.date.accessioned 2021-11-05T14:10:49Z
dc.date.available 2021-11-05T14:10:49Z
dc.date.issued 2021-01 es_ES
dc.identifier.uri http://hdl.handle.net/10251/176431
dc.description.abstract [EN] Statistical mechanics is a physics theory that deals with ensembles of microstates of a system compatible with environmental constraints and that on average define a thermodynamic state. The evolution of a small system is normally subjected to changing constraints, as set by a protocol, and involves a stochastic dependence on previous events. Here, we generalize the dynamic trajectories described by a realization of a physical system without dissipation to include those in which the history of previous events is necessary to understand its future. This framework is then used to characterize the processes experienced by the stochastic system, as derived from ensemble averages over the available pathways. We find that the pathways that the system traces in the presence of a protocol entail different statistics from those in its absence and prove that both types of pathways are equivalent in the limit of independent events. Such equivalence implies that a thermodynamic system cannot evolve away from equilibrium in the absence of memory. These results are useful to interpret single-molecule experiments in biophysics and other fields in nanoscience, as well as an adequate platform to describe non-equilibrium processes. es_ES
dc.description.sponsorship Work supported by Ministerio de Ciencia e Innovacion, grant number PID2019-107391RB-I00. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Non-markovian es_ES
dc.subject Memory es_ES
dc.subject Pathway es_ES
dc.subject Stochastic es_ES
dc.subject Microscopic reversibility es_ES
dc.subject Statistical mechanics es_ES
dc.subject Information Theory es_ES
dc.subject Phase space es_ES
dc.subject Single molecule es_ES
dc.subject Non-equilibrium es_ES
dc.subject.classification FISICA APLICADA es_ES
dc.title Microscopically Reversible Pathways with Memory es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math9020127 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107391RB-I00/ES/APLICACIONES BIOFOTONICAS DE LENTES DIFRACTIVAS ESCTRUCTURADAS/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Física Aplicada - Departament de Física Aplicada es_ES
dc.description.bibliographicCitation Arias-Gonzalez, JR. (2021). Microscopically Reversible Pathways with Memory. Mathematics. 9(2):1-21. https://doi.org/10.3390/math9020127 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math9020127 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 21 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\428556 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
upv.costeAPC 1300 es_ES


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