On perturbation around closed exclusion processes

Autor: Masataka Watanabe
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: SciPost Physics, Vol 17, Iss 3, p 092 (2024)
Druh dokumentu: article
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.17.3.092
Popis: 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 [Phys. Rev. E 97, 032135] 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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