6 papers
Interacting particle systems with long range interactions: approximation by tagged particles in random fields
Alessia Nota, Juan J. L. Velázquez, Raphael Winter
In this paper we continue the study of the derivation of different types of kinetic equations which arise from scaling limits of interacting particle systems. We began this study i…
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
Adolfo Arroyo-Rabasa, Raphael Winter
We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screene…
Interacting particle systems with long-range interactions: scaling limits and kinetic equations
Alessia Nota, Juan J. L. Velázquez, Raphael Winter
The goal of this paper is to describe the various kinetic equations which arise from scaling limits of interacting particle systems. We provide a formalism which allows us to deter…
Convergence to the Landau equation from the truncated BBGKY hierarchy in the weak-coupling limit
Raphael Winter
We consider the evolution of the one-particle function in the weak-coupling limit in three space dimensions, obtained by truncating the BBGKY hierarchy under a propagation of chaos…
Kinetic description of a Rayleigh Gas with annihilation
Alessia Nota, Raphael Winter, Bertrand Lods
In this paper, we consider the dynamics of a tagged point particle in a gas of moving hard-spheres that are non-interacting among each other. This model is known as the ideal Rayle…
The two-particle correlation function for systems with long-range interactions
Juan J. L. Velázquez, Raphael Winter
In this paper, we study the truncated two-particle correlation function in particle systems with long range interactions. For Coulombian and soft potentials, we define and give wel…