Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911876894425088 |
|---|---|
| author | Besharat, Afshin Radkovski, Jury Sibiryakov, Sergey |
| author_facet | Besharat, Afshin Radkovski, Jury Sibiryakov, Sergey |
| contents | We show that the action of a dynamical system can be supplemented by an effective action for its environment to reproduce arbitrary coordinate dependent ohmic dissipation and gyroscopic forces. The action is a generalization of the harmonic bath model and describes a set of massless interacting scalar fields in an auxiliary space coupled to the original system at the boundary. A certain limit of the model implements nonholonomic constraints. In the case of dynamics with nonlinearly realized symmetries the effective action takes the form of a two-dimensional nonlinear sigma-model. It provides a basis for application of path integral methods to general dissipative and nonholonomic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08695 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective Action for Dissipative and Nonholonomic Systems Besharat, Afshin Radkovski, Jury Sibiryakov, Sergey Classical Physics Soft Condensed Matter Statistical Mechanics High Energy Physics - Theory We show that the action of a dynamical system can be supplemented by an effective action for its environment to reproduce arbitrary coordinate dependent ohmic dissipation and gyroscopic forces. The action is a generalization of the harmonic bath model and describes a set of massless interacting scalar fields in an auxiliary space coupled to the original system at the boundary. A certain limit of the model implements nonholonomic constraints. In the case of dynamics with nonlinearly realized symmetries the effective action takes the form of a two-dimensional nonlinear sigma-model. It provides a basis for application of path integral methods to general dissipative and nonholonomic systems. |
| title | Effective Action for Dissipative and Nonholonomic Systems |
| topic | Classical Physics Soft Condensed Matter Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2308.08695 |