The two-particle correlation function for systems with long-range interactions

Abstract

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 well-posedness results for the equilibrium correlations. In the Coulombian case, we prove the onset of the Debye screening length in the equilibrium correlations, for suitable velocity distributions. Additionally, we give precise estimates on the effective range of interaction between particles. In the case of soft potential interaction the equilibrium correlations and their fluxes in the space of velocities are shown to be linearly stable.

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Cited by in corpus (5)

• Microscopic foundations of kinetic plasma theory: The relativistic Vlasov--Maxwell equations and their radiation-reaction-corrected generalization
• Dynamical large deviations for homogeneous systems with long range interactions and the Balescu--Guernsey--Lenard equation
• Lenard-Balescu correction to mean-field theory
• Dynamical large deviations for plasmas below the Debye length and the Landau equation
• Well-posedness of the Lenard-Balescu equation with smooth interactions