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Anomalous diffusion for overdamped particles driven by cross-correlated white noise sources
S I Denisov1, A N Vitrenko, W Horsthemke
1Institut für Physik, Universität Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
Summary
This study analyzes overdamped particles influenced by correlated noise in dynamic environments. We reveal anomalous diffusion behaviors and their dependence on friction and noise characteristics.
Area of Science:
- Statistical physics
- Non-equilibrium systems
- Stochastic processes
Background:
- Understanding particle dynamics in complex environments is crucial.
- Previous studies often focused on simpler noise models or static environments.
Purpose of the Study:
- To investigate the statistical properties of overdamped particles under correlated multiplicative noise.
- To derive and analyze the probability distribution and moments of particle positions.
- To classify anomalous diffusion regimes and their dependencies.
Main Methods:
- Langevin equation approach for particle dynamics.
- Fokker-Planck equation for probability distribution.
- Asymptotic analysis for long-time behavior.
Main Results:
- Exact probability distribution function derived.
- Moments and their long-time asymptotic behaviors calculated.
- Anomalous diffusion regimes classified and analyzed.
- Dependence on friction and noise characteristics detailed.
Conclusions:
- The study provides a comprehensive analysis of particle diffusion under complex noise.
- Anomalous diffusion is a key feature, influenced by system parameters.
- Theoretical predictions are validated by specific examples.
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