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Inertial effects on the Brownian gyrator
Youngkyoung Bae1, Sangyun Lee1, Juin Kim2
1Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Physical Review. E
|April 17, 2021
Summary
Inertia significantly alters Brownian gyrator dynamics, reducing nonequilibrium effects and changing rotational behavior. The Langevin model offers unique insights into stochastic energetics, distinct from standard Brownian dynamics.
Area of Science:
- Statistical Mechanics
- Soft Matter Physics
- Non-equilibrium Thermodynamics
Background:
- Brownian gyrator research has primarily focused on theoretical and experimental Brownian dynamics.
- The influence of inertia on Brownian gyrator behavior remains underexplored.
Purpose of the Study:
- To investigate the impact of inertia on the dynamics and energetics of the Brownian gyrator.
- To compare the Langevin dynamics description with standard Brownian dynamics.
Main Methods:
- Solving the Fokker-Planck equation with explicit mass consideration.
- Performing Langevin dynamics simulations.
Main Results:
- Inertia diminishes nonequilibrium effects, reducing probability density function declination and mean angular momentum (j_θ).
- Rotation is maximized at specific anisotropy; stability is minimized at particular anisotropy or mass.
- Langevin dynamics reveals distinct behavior compared to Brownian dynamics.
Conclusions:
- The Langevin model provides a more comprehensive description of the Brownian gyrator, including inertial effects.
- The angular momentum (j_θ) is crucial for estimating stochastic energetics in the underdamped regime.
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