Entropy production of the contact model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929467503411200 |
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| author | Tome, Tânia de Oliveira, Mário J. |
| author_facet | Tome, Tânia de Oliveira, Mário J. |
| contents | We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is positive defined and based on the inequality $x\ln x-(x-1)\ge0$. The corresponding entropy flux is linear in the probability distribution allowing its calculation as an average. The expression is applied to the one-dimensional contact process at the stationary state. We found that the rate of entropy production per site is finite with a singularity at the critical point with diverging slope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06751 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entropy production of the contact model Tome, Tânia de Oliveira, Mário J. Statistical Mechanics We propose an expression for the production of entropy for system described by a stochastic dynamics which is appropriate for the case where the reverse transition rate vanishes but the forward transition is nonzero. The expression is positive defined and based on the inequality $x\ln x-(x-1)\ge0$. The corresponding entropy flux is linear in the probability distribution allowing its calculation as an average. The expression is applied to the one-dimensional contact process at the stationary state. We found that the rate of entropy production per site is finite with a singularity at the critical point with diverging slope. |
| title | Entropy production of the contact model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2405.06751 |