Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
Metadatos
Mostrar el registro completo del ítemEditorial
American Physical Society
Fecha
2021-10-27Referencia bibliográfica
Gutiérrez, 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]
Patrocinador
European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Cofund Programme 754446; Project of I+D+i PID2020-113681GB-I00; FEDER "A way to make Europe"; ENEA, Italy; Italian research programme; European research programmeResumen
The 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.