Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-05-17
Phys. Rev. E 84, 011132 (2011)
Physics
Condensed Matter
Statistical Mechanics
8 pages, 9 figures
Scientific paper
10.1103/PhysRevE.84.011132
The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are expressed by a stochastic differential equation for the angular dynamics of the particle determining the orientation of motion. In addition to a constant torque, the particle is supplemented by random torques which are modeled as an Ornstein-Uhlenbeck process with given correlation time $\tau_c$. These nonvanishing correlations cause a persistence of the particles' trajectories and a change of the effective spatial diffusion coefficient. We discuss the mean square displacement as a function of the correlation time and the noise intensity and detect a nonmonotonic dependence of the effective diffusion coefficient with respect to both correlation time and noise strength. A maximal diffusion behavior is obtained if the correlated angular noise straightens the curved trajectories, interrupted by small pirouettes, whereby the correlated noise amplifies a straightening of the curved trajectories caused by the constant torque.
Hänggi Peter
Radtke Paul K.
Schimansky-Geier Lutz
Weber Christian
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