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Transition from linear Landau damping to nonlinear Bernstein-Greene-Kruskal modes via phase synchronization
Shaokang Xu1, Z B Guo1, Ö D Gürcan2
1State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China.
Physical Review. E
|March 19, 2021
Summary
Plasma waves transition from linear to nonlinear states via particle phase synchronization. This process reduces Landau damping, forming synchronized Bernstein-Greene-Kruskal modes, with residual damping observed when phases are not fully synchronized.
Area of Science:
- Plasma Physics
- Nonlinear Dynamics
- Computational Physics
Background:
- Plasma waves exhibit linear behavior initially, characterized by Landau damping due to phase mixing.
- The transition to nonlinear states, specifically Bernstein-Greene-Kruskal (BGK) modes, involves complex particle dynamics in velocity space.
Purpose of the Study:
- To investigate the dynamic transition of plasma waves from linear to nonlinear states.
- To elucidate the role of particle phase synchronization in mitigating Landau damping and forming nonlinear structures.
Main Methods:
- Utilizing the Vlasov-Poisson system for theoretical framework.
- Employing numerical simulations to observe plasma distribution function evolution.
- Analyzing particle phase space dynamics and synchronization processes.
Main Results:
- Observed development of fine structures in the plasma distribution function during the linear stage.
- Identified phase synchronization spreading from the wave-particle resonance region.
- Demonstrated reduction in Landau damping due to phase synchronization, facilitating nonlinear BGK mode formation.
Conclusions:
- Phase synchronization is a key mechanism for the transition to nonlinear plasma waves.
- Fully synchronized states (BGK modes) emerge as a result of this synchronization process.
- Residual damping persists in quasi-steady nonlinear waves if particle phases are not completely synchronized.
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