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The Langevin equation for systems with a preferred spatial direction | | Roman Belousov
; E.G.D. Cohen
; Lamberto Rondoni
; | | Date: |
9 May 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 the external force and
alters the Gaussian structure of the system’s fluctuations. By solving this
extended equation, we demonstrate that the statistical properties of the
fluctuations in these systems can be predicted from physical observables, such
as the temperature and the hydrodynamic gradients. | | Source: | arXiv, 1605.2649 | | Services: | Forum | Review | PDF | Favorites | |
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