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Plasmas as Dielectric Media
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approximation arising assume BBGKY BBGKY hierarchy behavior Bernstein mode calculated charged particles coefficients collective mode collision term condition consider correlation function Coulomb cyclotron Debye Debye length defined density fluctuations described dielectric function dielectric response function dielectric tensor direction dispersion relation distribution function domain drift wave dynamic form factor effects electric field electromagnetic wave electron gas electron plasma oscillation expression external finite fluctuation spectrum Fourier hence induced instability integration interaction involved ion-acoustic wave ions Klimontovich Landau damping linear longitudinal magnetic field Maxwellian microscopic obtain pair correlation function perturbation phase space plasma oscillation plasma parameter Plasma Physics plasma turbulence plasma wave potential field problem propagation properties quantities relaxation resonance right-hand side scattering Section side of Eq solution space-charge spatial stability static form factor stationary statistical average substitute summation test charge theory thermodynamic equilibrium tion transformation turbulent plasma unperturbed velocity distribution vicinity Vlasov equation wave number wave vector