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On perturbation around closed exclusion processes
by Masataka Watanabe
Submission summary
| Authors (as registered SciPost users): | Masataka Watanabe |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202406_00015v1 (pdf) |
| Date submitted: | 2024-06-07 12:42 |
| Submitted by: | Watanabe, Masataka |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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 [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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Current status:
In refereeing