Resolution dependence of most probable pathways with state-dependent diffusivity
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909090997862400 |
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| author | Thorneywork, Alice L. Gladrow, Jannes Keyser, Ulrich F. Cates, Michael E. Adhikari, Ronojoy Kappler, Julian |
| author_facet | Thorneywork, Alice L. Gladrow, Jannes Keyser, Ulrich F. Cates, Michael E. Adhikari, Ronojoy Kappler, Julian |
| contents | Recent experiments have probed the relative likelihoods of trajectories in stochastic systems by observing survival probabilities within a tube of radius $R$ in spacetime. We measure such probabilities here for a colloidal particle in a corrugated channel, corresponding to a bistable potential with state-dependent diffusivity. In contrast to previous findings for state-independent noise, we find that the most probable pathway changes qualitatively as the tube radius $R$ is altered. We explain this by computing the survival probabilities predicted by overdamped Langevin dynamics. At high enough resolution (small enough $R$), survival probabilities depend solely on diffusivity variations, independent of deterministic forces; finite $R$ corrections yield a generalization of the Onsager-Machlup action. As corollary, ratios of survival probabilities are singular as $R \to 0$, but become regular, and described by the classical Onsager-Machlup action, only in the special case of state-independent noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01559 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Resolution dependence of most probable pathways with state-dependent diffusivity Thorneywork, Alice L. Gladrow, Jannes Keyser, Ulrich F. Cates, Michael E. Adhikari, Ronojoy Kappler, Julian Statistical Mechanics Mesoscale and Nanoscale Physics Soft Condensed Matter Chemical Physics Recent experiments have probed the relative likelihoods of trajectories in stochastic systems by observing survival probabilities within a tube of radius $R$ in spacetime. We measure such probabilities here for a colloidal particle in a corrugated channel, corresponding to a bistable potential with state-dependent diffusivity. In contrast to previous findings for state-independent noise, we find that the most probable pathway changes qualitatively as the tube radius $R$ is altered. We explain this by computing the survival probabilities predicted by overdamped Langevin dynamics. At high enough resolution (small enough $R$), survival probabilities depend solely on diffusivity variations, independent of deterministic forces; finite $R$ corrections yield a generalization of the Onsager-Machlup action. As corollary, ratios of survival probabilities are singular as $R \to 0$, but become regular, and described by the classical Onsager-Machlup action, only in the special case of state-independent noise. |
| title | Resolution dependence of most probable pathways with state-dependent diffusivity |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Soft Condensed Matter Chemical Physics |
| url | https://arxiv.org/abs/2402.01559 |