Phys. Rev. Lett. 81, 5824–5827 (1998)

Asymptotic Theory of Nonlinear Landau Damping and Particle Trapping in Waves of Finite Amplitude

Abstract

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M. V. Medvedev^1,*, P. H. Diamond^2,†, M. N. Rosenbluth^2,‡, and V. I. Shevchenko²
¹Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, Massachusetts 02138
²Physics Department, University of California, San Diego, La Jolla, California 92093-0319

Received 17 March 1998; published in the issue dated 28 December 1998

A fully nonlinear, time-asymptotic theory of nonlinear Landau damping and resonant particle trapping in finite-amplitude waves is presented. The virial theorem and the conservation of the parallel adiabatic invariant are used to determine the time-asymptotic distribution function. The effect of trapped particles on the nonlinear wave dynamics is highly nontrivial and forces a significant departure from the conventional models of finite-amplitude waves.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.81.5824

DOI:

10.1103/PhysRevLett.81.5824

PACS:

52.35.Mw, 47.65.+a, 52.35.Nx, 52.35.Sb

^*Also at the Institute for Nuclear Fusion, RRC “Kurchatov Institute,” Moscow 123182, Russia. Electronic address: mmedvedev@cfa.harvard.edu; http://cfa-www.harvard.edu/∼mmedvede/

^†Also at General Atomics, San Diego, CA 92121.

^‡

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Phys. Rev. Lett. 81, 5824–5827 (1998)

Asymptotic Theory of Nonlinear Landau Damping and Particle Trapping in Waves of Finite Amplitude