Two-temperature Brownian dynamics of a particle in a confining potential
We consider the two-dimensional motion of a particle in a confining potential, subject to Brownian orthogonal forces associated with two different temperatures. Exact solutions are obtained for an asymmetric harmonic potential in the overdamped and underdamped regimes. For more general confining pot...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2018
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/85172 http://hdl.handle.net/10220/45141 |
| _version_ | 1811678556269314048 |
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| author | Mancois, Vincent Marcos, Bruno Viot, Pascal Wilkowski, David |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Mancois, Vincent Marcos, Bruno Viot, Pascal Wilkowski, David |
| author_sort | Mancois, Vincent |
| collection | NTU |
| description | We consider the two-dimensional motion of a particle in a confining potential, subject to Brownian orthogonal forces associated with two different temperatures. Exact solutions are obtained for an asymmetric harmonic potential in the overdamped and underdamped regimes. For more general confining potentials, a perturbative approach shows that the stationary state exhibits some universal properties. The nonequilibrium stationary state is characterized with a nonzero orthoradial mean current, corresponding to a global rotation of the particle around the center. The rotation is due to two broken symmetries: two different temperatures and a mismatch between the principal axes of the confining asymmetric potential and the temperature axes. We confirm our predictions by performing a Brownian dynamics simulation. Finally, we propose to observe this effect on a laser-cooled atomic gas. |
| first_indexed | 2024-10-01T02:55:08Z |
| format | Journal Article |
| id | ntu-10356/85172 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:55:08Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | ntu-10356/851722023-02-28T19:22:33Z Two-temperature Brownian dynamics of a particle in a confining potential Mancois, Vincent Marcos, Bruno Viot, Pascal Wilkowski, David School of Physical and Mathematical Sciences Stochastic Brownian We consider the two-dimensional motion of a particle in a confining potential, subject to Brownian orthogonal forces associated with two different temperatures. Exact solutions are obtained for an asymmetric harmonic potential in the overdamped and underdamped regimes. For more general confining potentials, a perturbative approach shows that the stationary state exhibits some universal properties. The nonequilibrium stationary state is characterized with a nonzero orthoradial mean current, corresponding to a global rotation of the particle around the center. The rotation is due to two broken symmetries: two different temperatures and a mismatch between the principal axes of the confining asymmetric potential and the temperature axes. We confirm our predictions by performing a Brownian dynamics simulation. Finally, we propose to observe this effect on a laser-cooled atomic gas. Published version 2018-07-19T07:57:57Z 2019-12-06T15:58:41Z 2018-07-19T07:57:57Z 2019-12-06T15:58:41Z 2018 Journal Article Mancois, V., Marcos, B., Viot, P., & Wilkowski, D. (2018). Two-temperature Brownian dynamics of a particle in a confining potential. Physical Review E, 97(5), 052121-. 2470-0045 https://hdl.handle.net/10356/85172 http://hdl.handle.net/10220/45141 10.1103/PhysRevE.97.052121 en Physical Review E © 2018 American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: [http://dx.doi.org/10.1103/PhysRevE.97.052121]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 10 p. application/pdf |
| spellingShingle | Stochastic Brownian Mancois, Vincent Marcos, Bruno Viot, Pascal Wilkowski, David Two-temperature Brownian dynamics of a particle in a confining potential |
| title | Two-temperature Brownian dynamics of a particle in a confining potential |
| title_full | Two-temperature Brownian dynamics of a particle in a confining potential |
| title_fullStr | Two-temperature Brownian dynamics of a particle in a confining potential |
| title_full_unstemmed | Two-temperature Brownian dynamics of a particle in a confining potential |
| title_short | Two-temperature Brownian dynamics of a particle in a confining potential |
| title_sort | two temperature brownian dynamics of a particle in a confining potential |
| topic | Stochastic Brownian |
| url | https://hdl.handle.net/10356/85172 http://hdl.handle.net/10220/45141 |
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