Résolution de l’Equation de Boltzmann avec la méthode de Chapman-Enskog

Abstract

ransport phenomena appear in an unbalanced medium with a gradient of some physical quantity. This gradient leads to a transport or flow tending to return to a state of equilibrium. This gradient is proportional to the gradient that caused it. The transport parameter is the coefficient of proportionality. The calculation of the transport coefficients is based on the resolution of the Boltzmann equation and the evaluation of the collision term. Unfortunately knowledge of the distribution function is impossible. The Chapman-Enskog method is an approximation which consists to define the solution in the form of a development of distribution functions around the Maxwell-Boltzmann distribution and the term of order one which determines the expression of the heat flux and momentum and transport coefficients from the interaction potentials.