Tensor field method in the theory of binary mixtures: linear response theory

Abstract

The previously proposed method of tensor fields is applied to the description of an inhomogeneous binary mixture. The deterministic correlation functions of the joint distribution of the mixture components introduced in this work can be expressed in terms of local tensor fields, each of which describes inhomogeneity in the distribution of particles of only a certain kind. The proposed method solves the problem of the linear response of the model ion system to a small external mechanical perturbation. It is shown that for systems of charged particles interacting only through the Coulomb field, the density perturbation strongly depends on the degree of electroneutrality of the system. If such a system as a whole is electrically neutral, the density perturbation of a binary mixture component is determined only by the properties of this component. In the case when the temperatures of individual components differ, the situation changes significantly.