arXiv subjects

Sara Kaviani

Publications and source records attributed to Sara Kaviani.

2 recordsLinked to original sources

arXiv2019

Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactions

A totally asymmetric exclusion process consisting of classical particles with next-nearest-neighbor interactions has been considered on a 1D discrete lattice with a ring geometry. Using large deviation techniques, we have investigated fluctuations of particle current in two and three-particle sectors. In two-particle sector, we have obtained exact large deviation function for the probability distribution of particle current. In this sector, we have also calculated the the propensity of each configuration to exhibit atypical particle current. Analytical results for both scaled cumulant generating function of particle current and average particle current are compared with those obtained from cloning Monte Carlo simulations. Numerical results in three-particle sector have also been presented.

cond-mat.stat-mech↗

arXiv2019

Effective dynamics of a conditioned generalized linear Glauber model

In order to study the stochastic Markov processes conditioned on a specific value of a time-integrated observable, the concept of ensembles of trajectories has been recently used extensively. In this paper, we consider a generic reaction-diffusion process consisting of classical particles with nearest-neighbor interactions on a one-dimensional lattice with periodic boundary conditions. By introducing a time-integrated current as a physical observable, we have found certain constraints on the microscopic transition rates of the process under which the effective process contains local interactions; however, with rescaled transition rates comparing to the original process. A generalization of the linear Glauber model is then introduced and studied in detail as an example. Associated effective dynamics of this model is investigated and constants of motion are obtained.

cond-mat.stat-mech↗