Fluctuating, Lorentz-force-like coupling of Langevin equations and heat flux rectification

Fluctuating, Lorentz-force-like coupling of Langevin equations and heat flux rectification In a description of physical systems with Langevin equations, interacting degrees of freedom are usually coupled through symmetric parameter matrices. This coupling symmetry is a consequence of time-reversal symmetry of the involved conservative forces. If coupling parameters fluctuate randomly, the resulting noise is called multiplicative. For example, mechanical oscillators can be coupled through a fluctuating, symmetric matrix of spring “constants.” Such systems exhibit well-studied instabilities. In this article, we study the complementary case of antisymmetric, time-reversal symmetry-breaking coupling that can be realized with Lorentz forces or various gyrators. We consider the case in which these antisymmetric couplings fluctuate. This type of multiplicative noise does not lead to instabilities in the stationary state but renormalizes the effective nonequilibrium friction. Fluctuating Lorentz-force-like couplings also allow one to control and rectify heat transfer. A noteworthy property of this mechanism of producing asymmetric heat flux is that the controlling couplings do not exchange energy with the system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

Fluctuating, Lorentz-force-like coupling of Langevin equations and heat flux rectification

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Fluctuating, Lorentz-force-like coupling of Langevin equations and heat flux rectification

Abstract

In a description of physical systems with Langevin equations, interacting degrees of freedom are usually coupled through symmetric parameter matrices. This coupling symmetry is a consequence of time-reversal symmetry of the involved conservative forces. If coupling parameters fluctuate randomly, the resulting noise is called multiplicative. For example, mechanical oscillators can be coupled through a fluctuating, symmetric matrix of spring “constants.” Such systems exhibit well-studied instabilities. In this article, we study the complementary case of antisymmetric, time-reversal symmetry-breaking coupling that can be realized with Lorentz forces or various gyrators. We consider the case in which these antisymmetric couplings fluctuate. This type of multiplicative noise does not lead to instabilities in the stationary state but renormalizes the effective nonequilibrium friction. Fluctuating Lorentz-force-like couplings also allow one to control and rectify heat transfer. A noteworthy property of this mechanism of producing asymmetric heat flux is that the controlling couplings do not exchange energy with the system.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1539-3755
eISSN
550-2376
D.O.I.
10.1103/PhysRevE.96.022109
Publisher site
See Article on Publisher Site

Abstract

In a description of physical systems with Langevin equations, interacting degrees of freedom are usually coupled through symmetric parameter matrices. This coupling symmetry is a consequence of time-reversal symmetry of the involved conservative forces. If coupling parameters fluctuate randomly, the resulting noise is called multiplicative. For example, mechanical oscillators can be coupled through a fluctuating, symmetric matrix of spring “constants.” Such systems exhibit well-studied instabilities. In this article, we study the complementary case of antisymmetric, time-reversal symmetry-breaking coupling that can be realized with Lorentz forces or various gyrators. We consider the case in which these antisymmetric couplings fluctuate. This type of multiplicative noise does not lead to instabilities in the stationary state but renormalizes the effective nonequilibrium friction. Fluctuating Lorentz-force-like couplings also allow one to control and rectify heat transfer. A noteworthy property of this mechanism of producing asymmetric heat flux is that the controlling couplings do not exchange energy with the system.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Aug 4, 2017

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