Dynamical phase transition for current statistics in a simple driven diffusive system

CP Espigares, PL Garrido, PI Hurtado - Physical Review E—Statistical …, 2013 - APS
We consider fluctuations of the time-averaged current in the one-dimensional weakly
asymmetric exclusion process on a ring. The optimal density profile which sustains a given …

Symmetries in fluctuations far from equilibrium

PI Hurtado, C Pérez-Espigares… - Proceedings of the …, 2011 - National Acad Sciences
Fluctuations arise universally in nature as a reflection of the discrete microscopic world at
the macroscopic level. Despite their apparent noisy origin, fluctuations encode fundamental …

Thermodynamics of currents in nonequilibrium diffusive systems: theory and simulation

PI Hurtado, CP Espigares, JJ del Pozo… - Journal of Statistical …, 2014 - Springer
Understanding the physics of nonequilibrium systems remains as one of the major
challenges of modern theoretical physics. We believe nowadays that this problem can be …

Large deviation approach to nonequilibrium systems

H Touchette, RJ Harris - Nonequilibrium statistical physics of …, 2013 - Wiley Online Library
The theory of large deviations has been applied successfully in the past 30 years or so to
study the properties of equilibrium systems and to put the foundations of equilibrium …

Typical and rare fluctuations in nonlinear driven diffusive systems with dissipation

PI Hurtado, A Lasanta, A Prados - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems
subject to bulk dissipation and boundary driving. With this aim, we extend the recently …

Fluctuation relations for anisotropic systems

R Villavicencio-Sanchez, RJ Harris… - Europhysics …, 2014 - iopscience.iop.org
Currents of particles or energy in driven non-equilibrium steady states are known to satisfy
certain symmetries, referred to as fluctuation relations, determining the ratio of the …

Rare events, time crystals and symmetry-breaking dynamical phase transitions

R Hurtado-Gutiérrez - arxiv preprint arxiv:2404.04135, 2024 - arxiv.org
In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase
transitions that manifest in the fluctuations of time-integrated observables within classical …

Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

T Becker, K Nelissen, B Cleuren - New Journal of Physics, 2015 - iopscience.iop.org
Abstract We use kinetic Monte Carlo simulations to investigate current fluctuations in
boundary driven generalized exclusion processes, in different dimensions. Simulation …

Local structure of current fluctuations in diffusive systems beyond one dimension

R Villavicencio-Sanchez, RJ Harris - Physical Review E, 2016 - APS
In order to illuminate the properties of current fluctuations in more than one dimension, we
use a lattice-based Markov process driven into a nonequilibrium steady state. Specifically …

Typical and rare fluctuations in nonlinear driven diffusive systems with dissipation

PI Hurtado Fernández, A Lasanta Becerra… - Physical Review E …, 2013 - idus.us.es
We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems
subject to bulk dissipation and boundary driving. With this aim, we extend the recently …