Kinetic Theory of the Force Distribution Function

Abstract

Kinetic theory is typically based on describing the evolution of the distribution of velocities of particles. Fluid conservation laws and transport equations are constructed from velocity-moments of this kinetic equation. Here, an alternative viewpoint is developed based on describing the distribution of forces acting on particles. It is shown that equivalent fluid conservation laws and transport equations can be constructed based on the force distribution function. This alternative viewpoint may have certain advantages. It is more directly related to properties such as bremsstrahlung emission, and descriptions of transport based on equilibrium fluctuations. It is also more directly connected with certain experimental measurements, such as scattering of test charges. Furthermore, it can provide alternative methods to compute transport properties using equilibrium molecular dynamics simulations.