TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.3.092
TI  - On perturbation around closed exclusion processes
PY  - 2024/09/25
UR  - https://scipost.org/SciPostPhys.17.3.092
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 3
SP  - 092
A1  - Watanabe, Masataka
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.3.092,
	title={{On perturbation around closed exclusion processes}},
	author={Masataka Watanabe},
	journal={SciPost Phys.},
	volume={17},
	pages={092},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.3.092},
	url={https://scipost.org/10.21468/SciPostPhys.17.3.092},
}