Self-propulsion symmetries determine entropy production of active particles with hidden states
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913965304446976 |
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| author | Knight, Jacob Kaveh, Farid Pruessner, Gunnar |
| author_facet | Knight, Jacob Kaveh, Farid Pruessner, Gunnar |
| contents | Entropy production distinguishes equilibrium from non-equilibrium. Calculating the entropy production rate (EPR) is challenging in systems where some degrees of freedom cannot be observed. Here we introduce a perturbative framework to calculate the ``partial EPR'' of a canonical hidden-state system, a generic self-propelled active particle with hidden self-propulsion. We find that the parity symmetry, P, and (time-)reversibility, T, of the hidden variable determine partial entropy production. Non-trivial entropy production appears at least at sixth order in the self-propulsion velocity. We apply our framework to two processes which break P- and T-symmetries respectively: an asymmetric telegraph process and diffusion with stochastic resetting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22199 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-propulsion symmetries determine entropy production of active particles with hidden states Knight, Jacob Kaveh, Farid Pruessner, Gunnar Statistical Mechanics Entropy production distinguishes equilibrium from non-equilibrium. Calculating the entropy production rate (EPR) is challenging in systems where some degrees of freedom cannot be observed. Here we introduce a perturbative framework to calculate the ``partial EPR'' of a canonical hidden-state system, a generic self-propelled active particle with hidden self-propulsion. We find that the parity symmetry, P, and (time-)reversibility, T, of the hidden variable determine partial entropy production. Non-trivial entropy production appears at least at sixth order in the self-propulsion velocity. We apply our framework to two processes which break P- and T-symmetries respectively: an asymmetric telegraph process and diffusion with stochastic resetting. |
| title | Self-propulsion symmetries determine entropy production of active particles with hidden states |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2507.22199 |