Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917384615362560 |
|---|---|
| author | Beyen, Aaron Khodabandehlou, Faezeh Maes, Christian |
| author_facet | Beyen, Aaron Khodabandehlou, Faezeh Maes, Christian |
| contents | We investigate how introducing slow, time-dependent perturbations to a steady, nonequilibrium process alters the expected (excess) values of important observables, such as the dynamical activity and entropy flux. When we make a cyclic thermodynamic transformation, the excesses are described in terms of a (geometric) Berry phase with corresponding Berry potential and Berry curvature quantifying the response. Focussing on Markov jump processes, we show how a non-zero Berry curvature leads to a breakdown of the thermodynamic Maxwell relations and of the Clausius heat theorem. We also present a variant of the Aharonov-Bohm effect in which the parameters follow a curve with vanishing Berry curvature, but the system still experiences a nonzero Berry phase. Finally, we identify (sufficient) no-localization conditions in terms of mean first-passage times under which the corresponding Berry potentials and curvatures vanish at absolute zero, extending, for arbitrary driving, e.g., the case of vanishing heat capacity as for the Nernst postulate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01654 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature Beyen, Aaron Khodabandehlou, Faezeh Maes, Christian Statistical Mechanics We investigate how introducing slow, time-dependent perturbations to a steady, nonequilibrium process alters the expected (excess) values of important observables, such as the dynamical activity and entropy flux. When we make a cyclic thermodynamic transformation, the excesses are described in terms of a (geometric) Berry phase with corresponding Berry potential and Berry curvature quantifying the response. Focussing on Markov jump processes, we show how a non-zero Berry curvature leads to a breakdown of the thermodynamic Maxwell relations and of the Clausius heat theorem. We also present a variant of the Aharonov-Bohm effect in which the parameters follow a curve with vanishing Berry curvature, but the system still experiences a nonzero Berry phase. Finally, we identify (sufficient) no-localization conditions in terms of mean first-passage times under which the corresponding Berry potentials and curvatures vanish at absolute zero, extending, for arbitrary driving, e.g., the case of vanishing heat capacity as for the Nernst postulate. |
| title | Quasistatic response for nonequilibrium processes: evaluating the Berry potential and curvature |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2512.01654 |