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Anomalous diffusion in periodic potentials under self-similar colored noise
Jing-Dong Bao1, Yan Zhou, Kun Lü
1Department of Physics, Beijing Normal University, Beijing 100875, China. jdbao@bnu.edu.cn
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 13, 2006
Summary
Numerical studies reveal that thermal colored noise with vanishing spectral density drives superdiffusive motion. Systems with sub- or superohmic damping show distinct running and oscillating states, enhancing anomalous diffusion.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- Anomalous diffusion describes particle transport deviating from Brownian motion.
- Periodic potentials and generalized Langevin equations are key models in studying complex dynamics.
Purpose of the Study:
- To numerically investigate anomalous diffusion in periodic potentials.
- To explore the influence of thermal colored noise and damping on particle motion.
Main Methods:
- Simulating a generalized Langevin equation.
- Analyzing particle dynamics under thermal colored noise with specific spectral properties.
- Examining systems with sub- and superohmic damping in corrugated potentials.
Main Results:
- Proved that thermal colored noise with vanishing zero-frequency spectral density induces superdiffusive motion.
- Identified two distinct motion modes: running oscillated state and mixed running/oscillating states.
- Observed up to a twofold enhancement of anomalous power in the mixed state, enabling a wide range of diffusive regimes.
Conclusions:
- Particle motion in periodic potentials is highly sensitive to noise characteristics and damping.
- Superdiffusive regimes can be effectively controlled and enhanced by tuning system parameters.
- The study provides insights into achieving tunable anomalous diffusion.
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