Brownian system in energy space
Non-equilibrium distribution function in energy representation
Bogolyubov Institute for Theoretical Physics, National Academy of Science of Ukraine, Metrolohichna 14-b, Kyiv 03680, Ukraine
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Revised: 6 December 2012
Published online: 31 January 2013
The main goal of this article is to present a simple way to describe non-equilibrium systems in energy space and to obtain new spacial solution that complements recent results of B.I. Lev and A.D. Kiselev, Phys. Rev. E 82, (2010) 031101. The novelty of this presentation is based on the kinetic equation which may be further used to describe the non-equilibrium systems, as Brownian system in the energy space. Starting with the basic kinetic equation and the Fokker-Plank equation for the distribution function of the macroscopic system in the energy space, we obtain steady states and fluctuation relations for the non-equilibrium systems. We further analyze properties of the stationary steady states and describe several nonlinear models of such systems.
© EDP Sciences, Springer-Verlag, 2013