<p>An analytical theory of nonlinear generation of large-scale magnetic turbulence in an anisotropic magnetoactive plasma in a quasilinear approximation disregarding the direct nonlinear interaction of individual harmonics has been constructed. It has been shown that anomalous particle collisions caused by scattering on small-scale fluctuations of developed Weibel turbulence lead to the instability of long-wavelength harmonics stable in the linear approximation. The nonlinear growth of such harmonics at a given anisotropy of the particle velocity distribution, which is consistent with short-wavelength turbulence at the saturation stage and possible anisotropic injection of particles, occurs in the superexponential regime and corresponds to the explosive instability. The increase law of the large-scale field has been found and the critical explosion time has been determined.</p>

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Explosive Growth of Large-Scale Magnetic Fluctuations due to Particle Scattering on Developed Small-Scale Weibel Turbulence in a Magnetoactive Plasma

  • N. A. Emelyanov,
  • Vl. V. Kocharovsky

摘要

An analytical theory of nonlinear generation of large-scale magnetic turbulence in an anisotropic magnetoactive plasma in a quasilinear approximation disregarding the direct nonlinear interaction of individual harmonics has been constructed. It has been shown that anomalous particle collisions caused by scattering on small-scale fluctuations of developed Weibel turbulence lead to the instability of long-wavelength harmonics stable in the linear approximation. The nonlinear growth of such harmonics at a given anisotropy of the particle velocity distribution, which is consistent with short-wavelength turbulence at the saturation stage and possible anisotropic injection of particles, occurs in the superexponential regime and corresponds to the explosive instability. The increase law of the large-scale field has been found and the critical explosion time has been determined.