dorsal/arxiv
View SchemaStochastic Force Defined Evolution in Dynamical Systems
| Authors | P. Ao |
|---|---|
| Categories | |
| ArXiv ID | physics/0302081 |
| URL | https://arxiv.org/abs/physics/0302081 |
Abstract
Dynamics near and far away from thermal equilibrium is studied within the framework of Langevin equations. A stochasticity-dissipation relation is proposed to emphasize the equal importance of the stochastic and deterministic forces in describing the system's evolution and destination. It is a generalization of the fluctuation-dissipation theorem. Close to a stationary state an explicit construction of the potential energy is given through a gauged singular decomposition. Possible directions to extend the present study into generic situations are pointed out.
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"date_created": "2026-03-02T18:00:43.297000Z",
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"abstract": "Dynamics near and far away from thermal equilibrium is studied within the\nframework of Langevin equations. A stochasticity-dissipation relation is\nproposed to emphasize the equal importance of the stochastic and deterministic\nforces in describing the system\u0027s evolution and destination. It is a\ngeneralization of the fluctuation-dissipation theorem. Close to a stationary\nstate an explicit construction of the potential energy is given through a\ngauged singular decomposition. Possible directions to extend the present study\ninto generic situations are pointed out.",
"arxiv_id": "physics/0302081",
"authors": [
"P. Ao"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"title": "Stochastic Force Defined Evolution in Dynamical Systems",
"url": "https://arxiv.org/abs/physics/0302081"
},
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"variant": "snapshot-2026-03-01",
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