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...

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Main Authors: Mancois, Vincent, Marcos, Bruno, Viot, Pascal, Wilkowski, David
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/85172
http://hdl.handle.net/10220/45141
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Stochastic
Brownian
spellingShingle Stochastic
Brownian
Mancois, Vincent
Marcos, Bruno
Viot, Pascal
Wilkowski, David
Two-temperature Brownian dynamics of a particle in a confining potential
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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Mancois, Vincent
Marcos, Bruno
Viot, Pascal
Wilkowski, David
format Article
author Mancois, Vincent
Marcos, Bruno
Viot, Pascal
Wilkowski, David
author_sort Mancois, Vincent
title 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_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_sort two-temperature brownian dynamics of a particle in a confining potential
publishDate 2018
url https://hdl.handle.net/10356/85172
http://hdl.handle.net/10220/45141
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