Landau damping in dynamical Lorentz gases

Thierry Goudon (1) , Léo Vivion (1)

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We analyse the Landau damping mechanism for variants of Vlasov equations, with a time dependent linear force term and a self-consistent potential that involves an additional memory effect. This question is directly motivated by a model describing the interaction of particles with their environment, through momentum and energy exchanges with a vibrating field. We establish the stability of homogeneous states. We bring out how the coupling influences the stability criterion, in comparison to the standard Vlasov case.

Mots clés: 70F45; 74A25; Vlasov-like equations Interacting particles Landau damping Inelastic Lorentz gas Math Subject Classification 82C70; 37K05

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Science non linéaire [physics]

Thierry Goudon, Léo Vivion. Landau damping in dynamical Lorentz gases. 2019. ⟨hal-02155761⟩