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Giant oscillations of diffusion in ac-driven periodic systems
I G Marchenko1, A Zhiglo1, V Aksenova1
1NSC "Kharkiv Institute of Physics and Technology," Kharkiv 61108, Ukraine.
Chaos (Woodbury, N.Y.)
|December 1, 2022
Summary
This study reveals giant damped oscillations in Brownian particle diffusion under periodic driving. These oscillations arise from the interplay between locked and running trajectories, impacting the diffusion coefficient.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- Investigates diffusion in driven systems.
- Focuses on inertial Brownian particles in periodic potentials with time-periodic forces.
Purpose of the Study:
- To reveal parameter domains for normal diffusion.
- To understand giant damped quasiperiodic oscillations in diffusion.
- To identify the mechanism behind these oscillations.
Main Methods:
- Analysis of diffusion in driven systems.
- Identification of trajectory dynamics (locked vs. running).
- Examination of the contribution of trajectory differences to the diffusion coefficient.
Main Results:
- Identified parameter domains where diffusion is normal in the long time limit.
- Observed giant damped quasiperiodic oscillations dependent on driving amplitude.
- Linked oscillations to the difference between locked and running trajectories.
Conclusions:
- The study elucidates the mechanism of giant damped quasiperiodic oscillations in diffusion.
- Findings are experimentally verifiable in systems like colloidal particles, Josephson junctions, and cold atoms in optical lattices.
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