The European Physical Journal Special Topics

, Volume 216, Issue 1, pp 37–48 | Cite as

Brownian system in energy space

Non-equilibrium distribution function in energy representation
  • B.I. LevEmail author
Regular Article


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.


Brownian Motion European Physical Journal Special Topic Dusty Plasma Langevin Equation Brownian Particle 
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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Bogolyubov Institute for Theoretical Physics, National Academy of Science of UkraineKyivUkraine

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