Relaxation processes for a three-wave interaction model

  1. James D. Meiss†,‡ and
  2. Kenneth M. Watson§
  1. †Department of Physics, University of California, Berkeley, California 94720
  2. §La Jolla Institute, La Jolla, California 92038

Abstract

A system of waves coupled by three-wave, or triad, interactions is considered. A model is constructed to describe the response of a single test wave to interaction with a “heat bath” of “ambient waves.” An exact solution for the relaxation of the test wave amplitude is obtained. Regimes of validity are shown for the use of a Langevin equation based on a two-time scale perturbation theory.

Footnotes

  • ↵ ‡ Present address: Institute for Fusion Research, University of Texas, Austin, TX 78712.

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  1. PNAS 1981-04 vol. 78 no. 4 2029-2032
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