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A particle-conserved weighted-average oscillator model for trapped particles in long-time nonlinear Landau damping

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5064693· OSTI ID:1609273
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Science and Technology of China, Hefei, AH (China); DOE/OSTI
  2. Shenzhen Technology Univ. (China); Zhejiang Univ., Hangzhou (China)
  3. Univ. of Science and Technology of China, Hefei, AH (China); Univ. of Wisconsin, Madison, WI (United States)
  4. Zhejiang Univ., Hangzhou (China)
  5. Hefei Univ. of Technology, AH (China)
+ Show Author Affiliations
A normalized weighting function model for the average period of particles trapped in the potential wells of waves undergoing nonlinear Landau damping is considered herein. The model preserves the conservation properties of the trapped particles and relates them to the evolution of the wave envelope. It is valid when there are more shallowly trapped particles than deeply trapped particles, such as in long-time nonlinear Landau damping, as well as stabilities due to trapped particles at long times. The model is also useful for estimating the validity of the often invoked assumption that most trapped particles in nonlinear waves are deeply trapped.
Research Organization:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
Chinese Academy of Sciences (CAS); Fundamental Research Funds for the Central Universities; National Magnetic Confinement Fusion Science Program of China; National Natural Science Foundation of China (NSFC); USDOE Office of Science (SC)
Grant/Contract Number:
FC02-08ER54975; FG02-86ER53218
OSTI ID:
1609273
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 25; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (2)

Chaos in Dynamical Systems book January 2002
Nonlinear Landau Damping journal February 1997

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