Mathematical Theory of Thermodynamics in Multirelaxation in Solids with Discrete Relaxation Spectra

P(論文)Multi-relaxation in physics of any kind is discussed. First, thermodynamic consideration is developed mathematically in terms of the linear algebra to yield available expressions especially to the study of point defects. Single and multiple relaxations are well distinguished by means of a conjugate pair {x, ξ} composed of the partial potential x and the density ξ. The notion of equivalence is introduced between two conjugate pairs. There are two distinct ways to consider the relaxation ; the one is based on the transient process during the relaxation through the diffusion of density and the other on the condition of the resultant state in equilibrium. These two ways yield two different expressions for the relaxation of the compliance. Secondly diffusion operator, relaxation function are introduced, to readily derive the differential equaton of the observing cojugate pair {x, ξ} in such two ways as to use the relaxation function and the diffusion equation.departmental bulletin pape