1966/10/01 by S. Hess, S. Heß, L. Waldmann
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials
paper · pdf · doi:10.1515/zna-1966-1001
openalex publication_date 1966/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The kinetic theory of particles with spin previously developed for a LORENTzian gas is extended to the case of a pure gas. In part A the transport (BOLTZMANN) equation for the one particle distribution operator is stated and discussed (conservation laws, Η-theorem). A magnetic field acting on the magnetic moment of the particles is incorporated throughout. In part B the pertaining linearized collision operator and certain bracket expressions linked with this operator are considered. Part C deals with the expansion of the distribution operator and of the linearized transport equation with respect to a complete set of composite irreducible tensors built from the components of particle velocity and spin. Thus, the distribution operator is replaced by a set of tensors depending only on time and space-coordinates. The physical meaning of these tensors (expansion coefficients) is invoked. They obey a set of coupled first-order differential equations (transport-relaxation equations) . The reciprocity relations for the relaxation matrices are stated. Finally a detailed discussion of angular momentum conservation is given.