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dc.contributor.authorGarrido Galera, Pedro Luis
dc.identifier.citationPublished version: P L Garrido J. Stat. Mech. (2021) 113206. [10.1088/1742-5468/ac382d]es_ES
dc.descriptionWe acknowledge financial support from the Spanish ”Ministerio de Ciencia e Innovaci´on” and the ”Agencia Estatal de Investigaci´on (AEI)” under Project Ref. PID2020-113681GBI00 as well as the Consejer´ıa de Conocimiento, Investigaci´on Universidad, Junta de Andaluc ´ıa and European Regional Development Fund, Ref. A-FQM-175-UGR18 and in part by AFOSR [grant FA-9550-16-1-0037].es_ES
dc.description.abstractWe assume that a system at a mesoscopic scale is described by a field phi(x, t) that evolves by a Langevin equation with a white noise whose intensity is controlled by a parameter 1/root Omega. The system stationary state distribution in the small noise limit (Omega -> infinity) is of the form P-st [phi] similar or equal to exp(-Omega V-0[phi]), where V-0[phi] is called the quasipotential. V-0 is the unknown of a Hamilton-Jacobi equation. Therefore, V-0 can be written as an action computed along a path that is the solution from Hamilton's equation that typically cannot be solved explicitly. This paper presents a theoretical scheme that builds a suitable canonical transformation that permits us to do such integration by deforming the original path into a straight line and including some weights along with it. We get the functional form of such weights through conditions on the existence and structure of the canonical transformation. We apply the scheme to get the quasipotential algebraically for several one-dimensional nonequilibrium models as the diffusive and reaction-diffusion systems.es_ES
dc.description.sponsorshipInstituto de Salud Carlos III Spanish Governmentes_ES
dc.description.sponsorshipSpanish 'Agencia Estatal de Investigacion (AEI)' PID2020113681GB-I00es_ES
dc.description.sponsorshipUnited States Department of Defensees_ES
dc.description.sponsorshipAir Force Office of Scientific Research (AFOSR) FA-9550-16-1-0037es_ES
dc.description.sponsorshipJunta de Andalucia European Commission A-FQM-175UGR18es_ES
dc.publisherInstitute of Physicses_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleQuasipotentials in the Nonequilibrium Stationary States or a method to get explicit solutions of Hamilton-Jacobi equationses_ES

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Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España