Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-28
European Physical Journal B, 15(1):105-113 (2000)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 12 figures
Scientific paper
10.1007/s100510051104
We study a model of Brownian particles which are pumped with energy by means of a non-linear friction function, for which different types are discussed. A suitable expression for a non-linear, velocity-dependent friction function is derived by considering an internal energy depot of the Brownian particles. In this case, the friction function describes the pumping of energy in the range of small velocities, while in the range of large velocities the known limit of dissipative friction is reached. In order to investigate the influence of additional energy supply, we discuss the velocity distribution function for different cases. Analytical solutions of the corresponding Fokker-Planck equation in 2d 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 in the four-dimensional phase-space, a large mean squared displacement which increases quadratically with the energy supply, or non-equilibrium velocity distributions with crater-like form. Further, we point to some generalizations and possible applications of the model.
Ebeling Werner
Erdmann Udo
Schimansky-Geier Lutz
Schweitzer Frank
No associations
LandOfFree
Brownian Particles far from Equilibrium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Brownian Particles far from Equilibrium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brownian Particles far from Equilibrium will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-295579