Rigorous results for mean first-passage time of harmonically trapped particle
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912472434212864 |
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| author | Chelminiak, Przemyslaw |
| author_facet | Chelminiak, Przemyslaw |
| contents | The Ornstein-Uhlenbeck process of diffusion in the harmonic potential is re-examined in the context of the first-passage time problem. We investigate this problem to the extent that it has not yet been fully resolved and demonstrate exact novel results. They mainly concern the mean first-passage time for a particle diffusing downward and upward in the harmonic potential. We verify the main results of this paper by using a number of analytical techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigorous results for mean first-passage time of harmonically trapped particle Chelminiak, Przemyslaw General Physics The Ornstein-Uhlenbeck process of diffusion in the harmonic potential is re-examined in the context of the first-passage time problem. We investigate this problem to the extent that it has not yet been fully resolved and demonstrate exact novel results. They mainly concern the mean first-passage time for a particle diffusing downward and upward in the harmonic potential. We verify the main results of this paper by using a number of analytical techniques. |
| title | Rigorous results for mean first-passage time of harmonically trapped particle |
| topic | General Physics |
| url | https://arxiv.org/abs/2412.03165 |