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Anomalous dissipation: strong non-Markovian effect and its dynamical origin.
1Department of Physics, Beijing Normal University, Beijing 100875, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
Summary
Anomalous dissipation with vanishing friction leads to ballistic diffusion and acceleration, fulfilling the fluctuation-dissipation theorem. An influence factor quantifies non-Markovian friction and force-folding effects on particle dynamics.
Area of Science:
- Physics
- Nonlinear Dynamics
- Statistical Mechanics
Background:
- Understanding anomalous dissipation is crucial for complex systems.
- The fluctuation-dissipation theorem connects dissipation and fluctuations.
Purpose of the Study:
- Investigate anomalous dissipation with vanishing effective friction.
- Analyze the induction of ballistic diffusion and dissipative acceleration.
- Introduce an influence factor to characterize non-Markovian and force-folding effects.
Main Methods:
- Theoretical analysis of particle dynamics under anomalous dissipation.
- Introduction of an influence factor to model friction effects.
- Calculation of steady acceleration in periodic and magnetic potentials.
Main Results:
- Demonstrated anomalous dissipation inducing ballistic diffusion and dissipative acceleration.
- Confirmed fulfillment of the fluctuation-dissipation theorem.
- Quantified the impact of non-Markovian friction and force-folding via an influence factor.
Conclusions:
- Vanishing effective friction can lead to unique dynamical behaviors.
- The influence factor provides insight into long-time dynamics under complex friction.
- Velocity-dependent forces may be the origin of observed anomalous dissipation.