Nonperiodic oscillations of Langmuir waves

Abstract

It is shown that the single-mode equations derived from Zakharov’s model for Langmuir turbulence in a plasma in the presence of an external spatially homogeneous electric field oscillating at the electron plasma frequency has nonperiodic chaotic solutions whose power spectra have turbulence-like features. Bounds for these chaotic solutions are derived. Typical numerical results are presented for the one-dimensional case.