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A collision-oriented interacting particle system for Landau-type equations and the molecular chaos

A collision-oriented interacting particle system for Landau-type equations and the molecular chaos

We propose a collision-oriented particle system to approximate a class of Landau-type equations. This particle system is formally derived from a particle system with random collisions in the grazing regime, and happens to be a special random batch system with random interaction in the diffusion coefficient. The difference from usual …