In this paper, we generalize the theory of Brownian motion and the Onsager–Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an external force. To do this, we extend the Langevin equation to include a bias, which is introduced by an external force and alters the Gaussian structure of the system's fluctuations. In addition, by solving this extended equation, we provide a physical interpretation for the statistical properties of the fluctuations in these systems. Connections of the extended Langevin equation with the theory of active Brownian motion are discussed as well.

Langevin equation for systems with a preferred spatial direction / Belousov, Roman; Cohen, E. G. D.; Rondoni, Lamberto. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - STAMPA. - 94:3(2016), pp. 032127-1-032127-10. [10.1103/PhysRevE.94.032127]

Langevin equation for systems with a preferred spatial direction

RONDONI, Lamberto
2016

Abstract

In this paper, we generalize the theory of Brownian motion and the Onsager–Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an external force. To do this, we extend the Langevin equation to include a bias, which is introduced by an external force and alters the Gaussian structure of the system's fluctuations. In addition, by solving this extended equation, we provide a physical interpretation for the statistical properties of the fluctuations in these systems. Connections of the extended Langevin equation with the theory of active Brownian motion are discussed as well.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2653874
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