# Phase coexistences and particle non-conservation in a closed asymmetric exclusion process with inhomogeneities

Source: [Phase coexistences and particle non-conservation in a closed asymmetric exclusion process with inhomogeneities](<https://www.sota2.com/research/paper/68fa322d1e209131ce885a39>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:19:41.577Z

Authors: Tirthankar Banerjee, Anjan Kumar Chandra, Abhik Basu

Published: 2015-03-20T09:38:30.000Z

## Abstract

We construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle non-conserving Langmuir kinetics (LK) characterized by equal attachment and detachment rates. In the steady state, in the limit of competing LK and TASEP, the model is always found in states of phase coexistence. We uncover a nonequilibrium phase transition between a three-phase and a two-phase coexistence in the faster segment, controlled by the underlying inhomogeneity configurations and LK. The model is always found to be half-filled on average in the steady state, regardless of the hopping rates and the attachment/detachment rate.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1503.06024>)

[PDF](<https://arxiv.org/pdf/1503.06024.pdf>)