Starting from a time-independent (stationary) state of a plasma, one can investigate how the plasma behaves dynamically under (small) perturbations. Essentially, within the framework of the Vlasov description, we have already begun addressing this problem when we derived the plasma dispersion function and discussed the consequences for plasma oscillations in the form of Landau damping. In this section, when we revisit the question of stability, we intend to do so from a more general perspective, that is, not always assuming a Maxwellian distribution as the unperturbed state. We will retain the linear approximation and therefore will not address the issue of nonlinear stability here. Furthermore, we will also base our discussion on the Vlasov modelVlasov instability.

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Waves and Instabilities in Vlasov Systems

  • Karl-Heinz Spatschek

摘要

Starting from a time-independent (stationary) state of a plasma, one can investigate how the plasma behaves dynamically under (small) perturbations. Essentially, within the framework of the Vlasov description, we have already begun addressing this problem when we derived the plasma dispersion function and discussed the consequences for plasma oscillations in the form of Landau damping. In this section, when we revisit the question of stability, we intend to do so from a more general perspective, that is, not always assuming a Maxwellian distribution as the unperturbed state. We will retain the linear approximation and therefore will not address the issue of nonlinear stability here. Furthermore, we will also base our discussion on the Vlasov modelVlasov instability.