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Published on: January 9, 2017
Suppression and enhancement of diffusion in disordered dynamical systems
1Max Planck Institute for Physics of Complex Systems, Nöthnitzer Strasse 38, D-01187 Dresden, Germany. rklages@mpipks-dresden.mpg.de
Summary
Quenched disorder in chaotic systems causes complex diffusion changes. Simulations show diffusion can be suppressed or enhanced by varying perturbation strength, explained by fractal properties.
Area of Science:
- Physics
- Nonlinear Dynamics
- Statistical Mechanics
Background:
- Chaotic dynamical systems exhibit complex behaviors.
- Disorder can significantly alter system dynamics.
- Deterministic diffusion is a key phenomenon in these systems.
Purpose of the Study:
- To investigate the impact of quenched disorder on deterministic diffusion.
- To analyze the effects of perturbation strength on diffusion in chaotic systems.
- To explain the observed diffusion behaviors through theoretical approximation.
Main Methods:
- Studied piecewise linear maps on the line as a model system.
- Employed computer simulations to observe diffusion dynamics.
- Developed a theoretical approximation to explain simulation results.
Main Results:
- Observed a complex scenario of multiple suppression and enhancement of normal diffusion.
- Found that diffusion changes depend on the perturbation strength.
- Identified oscillations in diffusion as a key characteristic.
Conclusions:
- Quenched disorder leads to non-monotonic diffusion behavior.
- The observed oscillations are directly linked to the fractal nature of the unperturbed diffusion coefficient.
- Theoretical approximation successfully explains the complex diffusion patterns.
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