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On perturbation around closed exclusion processes
by Masataka Watanabe
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Submission summary
| Authors (as registered SciPost users): | Masataka Watanabe |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202406_00015v2 (pdf) |
| Date accepted: | 2024-09-13 |
| Date submitted: | 2024-08-30 08:32 |
| 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 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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List of changes
I (finally) understood that I have used two different definitions for q[n], one is canonically normalised and one nromalised so that the sum is qbinomial[L,N]. According to this, I fixed (4.7) and the inline equation between (4.8) and (4.9).
Published as SciPost Phys. 17, 092 (2024)