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Temperature anomalies of oscillating diffusion in ac-driven periodic systems
I G Marchenko1,2,3, V Aksenova1,2, I I Marchenko4
1NSC Kharkiv Institute of Physics and Technology, Kharkiv 61108, Ukraine.
Physical Review. E
|July 19, 2023
Summary
Temperature affects particle diffusion. As temperature rises, diffusion increases at minima but decreases at maxima, explained by thermal fluctuations and particle trajectory dynamics.
Area of Science:
- Physics
- Statistical Mechanics
- Nonlinear Dynamics
Background:
- Recent studies highlight giant oscillations in diffusion coefficients for inertial Brownian particles in low-friction regimes.
- Understanding temperature's role in such systems is crucial for predicting particle behavior.
Purpose of the Study:
- To investigate the impact of temperature on the diffusion coefficient of an inertial Brownian particle.
- To explain the observed temperature-dependent anomalies in diffusion.
Main Methods:
- Analysis of an inertial Brownian particle in a symmetric periodic potential under a time-periodic force.
- Investigating the interplay between deterministic dynamics, thermal fluctuations, and particle residence times.
Main Results:
- The diffusion coefficient increases at minima and decreases at maxima with rising temperature within a specific range.
- This behavior is linked to the perturbation of deterministic dynamics by thermal fluctuations.
- Mean residence time in locked and running trajectories influences the diffusion coefficient.
Conclusions:
- Temperature dependence of the diffusion coefficient is complex, showing non-monotonic behavior.
- The stationary probability of occupying running trajectories accurately predicts temperature effects on diffusion.
- Findings offer insights into particle transport in periodically driven systems.
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