# On perturbation around closed exclusion processes

Source: [On perturbation around closed exclusion processes](<https://www.sota2.com/research/paper/68fa48111e209131ce92ce82>)

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

Data updated: 2025-10-25T06:39:32.182Z

Authors: Masataka Watanabe

Published: 2024-06-04T18:00:02.000Z

## Abstract

We derive the formula for the stationary states of particle-number conserving exclusion processes infinitesimally perturbed by inhomogeneous adsorption and desorption. The formula not only proves but also generalises the conjecture proposed in arXiv:1711.06949 to account for inhomogeneous adsorption and desorption. As an application of the formula, we draw part of the phase diagrams of the open asymmetric simple exclusion process with and without Langmuir kinetics, correctly reproducing known results.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2406.02675>)

[PDF](<https://arxiv.org/pdf/2406.02675.pdf>)