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

## TL;DR

This paper studies current fluctuations in a one-dimensional asymmetric exclusion process with next-nearest-neighbor interactions, providing exact and numerical results for particle current distributions and fluctuations.

## Contribution

It introduces exact large deviation functions for current fluctuations in a model with next-nearest-neighbor interactions, extending understanding beyond nearest-neighbor models.

## Key findings

- Exact large deviation function for two-particle current distribution.
- Analytical and simulation results agree on current fluctuation properties.
- Numerical results for three-particle sector are presented.

## Abstract

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.