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dc.contributor.authorGutiérrez, Ricardo
dc.contributor.authorPérez Espigares, Carlos 
dc.date.accessioned2021-11-16T09:51:08Z
dc.date.available2021-11-16T09:51:08Z
dc.date.issued2021-10-27
dc.identifier.citationGutiérrez, R., & Pérez-Espigares, C. (2021). Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents. Physical Review E, 104(4), 044134. [https://doi.org/10.1103/PhysRevE.104.044134]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/71551
dc.descriptionWe thank Ruben Hurtado-Gutierrez and Pablo Hur-tado for insightful discussions. The research leading to these results has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Cofund Programme Athenea3I Grant Agreement No. 754446, and from the Project of I+D+i Ref. PID2020-113681GB-I00, financed by MICIN/AEI/10.13039/501100011033 and FEDER "A way to make Europe". We are grateful for the the computing resources and related technical support provided by PRO-TEUS, the supercomputing center of Institute Carlos I in Granada, Spain, and by CRESCO/ENEAGRID High Perfor-mance Computing infrastructure and its staff [65] , which is funded by ENEA, the Italian National Agency for New Tech-nologies, Energy and Sustainable Economic Development and by Italian and European research programmes.es_ES
dc.description.abstractThe study of dynamical large deviations allows for a characterization of stationary states of lattice gas models out of equilibrium conditioned on averages of dynamical observables. The application of this framework to the two-dimensional random walk conditioned on partial currents reveals the existence of a dynamical phase transition between delocalized band dynamics and localized vortex dynamics. We present a numerical microscopic characterization of the phases involved and provide analytical insight based on the macroscopic fluctuation theory. A spectral analysis of the microscopic generator shows that the continuous phase transition is accompanied by spontaneous Z2-symmetry breaking whereby the stationary solution loses the reflection symmetry of the generator. Dynamical phase transitions similar to this one, which do not rely on exclusion effects or interactions, are likely to be observed in more complex nonequilibrium physics models.es_ES
dc.description.sponsorshipEuropean Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Cofund Programme 754446es_ES
dc.description.sponsorshipProject of I+D+i PID2020-113681GB-I00es_ES
dc.description.sponsorshipFEDER "A way to make Europe"es_ES
dc.description.sponsorshipENEA, Italyes_ES
dc.description.sponsorshipItalian research programmees_ES
dc.description.sponsorshipEuropean research programmees_ES
dc.language.isoenges_ES
dc.publisherAmerican Physical Societyes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleDynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currentses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/754446es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.1103/PhysRevE.104.044134
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones_ES


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