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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.15405 |
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| _version_ | 1866914880753238016 |
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| author | Miller, Harry J. D. |
| author_facet | Miller, Harry J. D. |
| contents | A framework for defining stochastic currents associated with diffusion processes on curved Riemannian manifolds is presented. This is achieved by introducing an overdamped Stratonovich-Langevin equation that remains fully covariant under non-linear transformations of state variables. The approach leads to a covariant extension of the thermodynamic uncertainty relation, describing a trade-off between the total entropy production rate and thermodynamic precision associated with short-time currents in curved spaces and arbitrary coordinate systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Covariant currents and a thermodynamic uncertainty relation on curved manifolds Miller, Harry J. D. Statistical Mechanics A framework for defining stochastic currents associated with diffusion processes on curved Riemannian manifolds is presented. This is achieved by introducing an overdamped Stratonovich-Langevin equation that remains fully covariant under non-linear transformations of state variables. The approach leads to a covariant extension of the thermodynamic uncertainty relation, describing a trade-off between the total entropy production rate and thermodynamic precision associated with short-time currents in curved spaces and arbitrary coordinate systems. |
| title | Covariant currents and a thermodynamic uncertainty relation on curved manifolds |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2407.15405 |