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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: | https://arxiv.org/abs/2406.02675v3 (pdf) |
| Date submitted: | 2024-08-30 08:18 |
| 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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- Provide a novel and synergetic link between different research areas.
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- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
I finally understood the referee's comment and fixed (4.7). Thank you so much!
Current status:
Has been resubmitted