Fluctuation-Response Relation in Non-Equilibrium Systems and Active Matter
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910515562807296 |
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| author | Kirkpatrick, T. R. Belitz, D. |
| author_facet | Kirkpatrick, T. R. Belitz, D. |
| contents | We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation theorem is valid, and to linear order in an expansion about arbitrary non-equilibrium states, when it is not. We illustrate our results by discussing fluids, both in equilibrium and non-equilibrium states, as well as several active-matter systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_01821 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fluctuation-Response Relation in Non-Equilibrium Systems and Active Matter Kirkpatrick, T. R. Belitz, D. Statistical Mechanics We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation theorem is valid, and to linear order in an expansion about arbitrary non-equilibrium states, when it is not. We illustrate our results by discussing fluids, both in equilibrium and non-equilibrium states, as well as several active-matter systems. |
| title | Fluctuation-Response Relation in Non-Equilibrium Systems and Active Matter |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.01821 |