On the question of the no symmetry of the stress tensor for open systems

Mathematics and Mechanics Faculty, St. Petersburg State University, 28, Universitetsky pr., Stary Peterhof, 198504, Russia

Abstract

The paper discusses the influence of stress no symmetry in continuum mechanics and in stochastic processes. The no symmetry of the stress tensor arises in connection with the influence of the moment and leads to the ambiguity of the solutions of the equations of classical mechanics and the transformation of two-dimensional structures into three-dimensional in the absence of compensating forces. The model for a continuous medium was constructed earlier from phenomenological considerations and from kinetic theory. The article proposes a modification of the classical Boltzmann equation with the inclusion of the diffusion process and the moment in addition to the convective operator. The importance of these terms in generalized kinetic equations and in stochastic processes (Brownian motion and Landau damping) is assumed. In the last equations the probabilistic terms are replaced by deterministic ones.