Particle current fluctuations in a particle-nonconserving process

Abstract

We have considered a one-dimensional coagulation-decoagulation system of classical particles on a finite lattice with reflecting boundaries. It is known that the system undergoes a phase transition from a high-density to a low-density phase. Using a matrix product approach we have obtained an exact expression for the average entropy production rate of the system in the thermodynamic limit. We have also performed a large deviation analysis for fluctuations of entropy production rate and particle current. It turns out that the characteristics of the kink in the large deviation function can be used to spot the phase transition point. We have found that for very weak driving field (when the system approaches to its equilibrium) and also for very strong driving field (when the system is in the low-density phase) the large deviation function for fluctuations of entropy production rate is almost parabolic while in the high-density phase it prominently deviates from Gaussian behavior. The validity of the Gallavotti-Cohen fluctuation relation for the large deviation function for particle current is also verified.

7 pages, 5 figures, accepted for publication in PRE

References in corpus (12)

• The large deviation approach to statistical mechanics
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Fluctuation theorems for stochastic dynamics
• Large deviation function for entropy production in driven one-dimensional systems
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Entropy production of a bound nonequilibrium interface
• A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes
• Entanglement measures and the quantum to classical mapping
• Current loops and fluctuations in the zero-range process on a diamond lattice
• Repelling Random Walkers in a Diffusion-Coalescence System
• Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model
• Connection between matrix-product states and superposition of Bernoulli shock measures

Cited by in corpus (2)

• On Effective Stochastic Generators for Conditioned Dynamics at an Atypical Reaction-Diffusion Current
• Enantiodromic effective generators of a Markov jump process with Gallavotti-Cohen symmetry