Structure-Preserving Particle Method for Collisional Plasmas

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The Vlasov-Maxwell-Landau equation is widely regarded as a first-principles model for plasma physics. In this talk, we introduce a novel particle method for this equation that simultaneously models particle transport, electromagnetic field effects, and Coulomb collisions. The method arises from a regularization of the variational formulation of the Landau collision operator, leading to a discretization that conserves mass, momentum, and energy, while also dissipating entropy. We will also discuss recent progress on energy-conserving time discretizations applied to the resulting particle system.

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