Nonlocal electron hydrodynamics in magnetized plasmas

Abstract

Summary form only given. A system of nonlocal electron-transport equations for small perturbations in a fully ionized magnetized plasma is derived as a generalization of the nonlocal theory of unmagnetized plasmas [V. Yu. Bychenkov et al., Phys. Rev. Lett. 75, 4405 (1995); A. V. Brantov et al., JETP 84, 716 (1996)]. The Fourier components of the electron flux are found in an explicit form for quasi-static conditions in the limit k/sub /spl perp//spl rho//< 1 and k/sub /spl par///spl lambda//sub ei/<1. These are expressed in terms of the longitudinal, oblique, and transversal components of the generalized force (where k = wave number, /spl rho/ = Larmour radius and /spl lambda//sub ei/ = electron mean free path). All the transport coefficients are calculated as a function of wave number. The interplay between nonlocality and particle magnetization makes the effect of heat flux suppression across a magnetic field less pronounced than found in the conventional local case. The equations of nonlocal hydrodynamics for small perturbations in magnetized plasmas are formulated and the dispersion relation for magnetized ion acoustic waves (IAW) is derived. The dependence of IAW damping on the magnetic field strength is investigated for weakly collisional plasmas.