• DOI:10.1088/1361-6587/ab04d5
• Corpus ID: 53656912

Fourier–Hermite decomposition of the collisional Vlasov–Maxwell system: implications for the velocity-space cascade

@article{Pezzi2019FourierHermiteDO,
  title={Fourier–Hermite decomposition of the collisional Vlasov–Maxwell system: implications for the velocity-space cascade},
  author={Oreste Pezzi and Francesco Valentini and Sergio Servidio and Enrico Camporeale and P Veltri},
  journal={Plasma Physics and Controlled Fusion},
  year={2019},
  volume={61}
}

• O. Pezzi, F. Valentini, +2 authors P. Veltri
• Published 2 November 2018
• Physics
• Plasma Physics and Controlled Fusion

Turbulence at kinetic scales is an unresolved and ubiquitous phenomenon that characterizes both space and laboratory plasmas. Recently, new theories, in situ spacecraft observations and numerical simulations suggest a novel scenario for turbulence, characterized by a so-called phase-space cascade—the formation of fine structures, both in physical and velocity-space. This new concept is here extended by directly taking into account the role of inter-particle collisions, modeled through the nonlinear Landau operator or the simplified Dougherty operator. The characteristic times, associated with inter-particle correlations, are derived in the above cases. The implications of introducing collisions on the phase-space cascade are finally discussed.