×

zbMATH — the first resource for mathematics

Statistical-thermodynamic study of nonequilibrium phenomena in three-dimensional anharmonic crystal lattices. II: Continuum approximation of the basic equations. (English) Zbl 1112.82317
Summary: Macroscopic basic equations for analyzing nonlinear and nonequilibrium phenomena in anharmonic crystal lattices at finite temperatures are derived explicitly from the previously obtained microscopic basic equations by adopting the continuum approximation. The macroscopic basic equations are valid in a wide temperature range including the melting point. The equations may also be regarded as new equations for finite deformation continuum theory incorporating microscopic thermal vibration of constituent atoms. By using both two systems of microscopic and macroscopic basic equations extensively, the analyses of the nonequilibrium phenomena will be made in the following papers of the present series.
Part I, cf. J. Phys. Soc. Japan 68, No. 6, 1859–1863 (1999; Zbl 0977.82026).

MSC:
82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
PDF BibTeX Cite
Full Text: DOI