Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-02-17
Phys. Rev. E 73 036120 (2006)
Physics
Condensed Matter
Statistical Mechanics
15 pages
Scientific paper
10.1103/PhysRevE.73.036120
We study the statistical properties of overdamped particles driven by two cross-correlated multiplicative Gaussian white noises in a time-dependent environment. Using the Langevin and Fokker-Planck approaches, we derive the exact probability distribution function for the particle positions, calculate its moments and find their corresponding long-time, asymptotic behaviors. The generally anomalous diffusive regimes of the particles are classified, and their dependence on the friction coefficient and the characteristics of the noises is analyzed in detail. The asymptotic predictions are confirmed by exact solutions for two examples.
Denisov S. I.
Hänggi Peter
Horsthemke Werner
Vitrenko A. N.
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