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- Werner Ebeling, Udo Erdmann, Lutz Schimansky-Geier, Frank
Schweitzer:
-
Complex Motion of Brownian Particles with Energy Supply
- in:
-
Stochastic and Chaotic Dynamics in the
Lakes
(Eds. D. S. Broomhead, E. A. Luchinskaya,
P. V. E. McClintock, T. Mullin),
American Institute of Physics,
Melville, NY, USA, 2000, pp. 183-190
- Abstract:
-
We study a model of Brownian particles which are pumped with energy by
means of a non-linear friction function. Analytical solutions of the
corresponding Fokker-Planck equation are presented and compared with
computer simulations. Different to the case of passive Brownian
motion, we find several new features of the dynamics, such as the
formation of limit cycles, a large mean squared displacement which
increases quadratically with the energy supply, or non-equilibrium
velocity distributions with crater-like form. In the four-dimensional
phase space, the corresponding distribution has the form of two hoops
or two tires. Further, the general features of motion in arbitrary
two-dimensional potentials are discussed within a diffusion
approximation.
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