Thermodynamics and equations of motion of quantum crystals

Akihito Kato, Yoshitaka Tanimura

Vyacheslav I. Yukalov

Abstract The localized approximation for a quantum crystal considered earlier by the author is taken here as the initial step of an iteration, and the higher approximations for the propagators and thermodynamic functions are calculated. This generalization is based on a new type of a double iterative procedure for the equation of motion. The method is illustrated with a three‐dimensional crystal.

T.R. KOEHLER

W. Götze, K. H. Michel

Jishad Kumar

This thesis is all about the study of dynamics and thermodynamics of quantum Brownian motion. We mainly discussed the equilibrium properties of the dissipative quantum systems through a master equation approach to quantum Brownian motion as well as through a thermodynamical approach.

Baldwin Robertson

Exact equations of motion for the space- and time-dependent thermodynamic coordinates of a many-body system are derived directly from the Liouville equation. This is done by definining a generalized canonical density operator depending only upon present values of the thermodynamic coordinates. This operator is used no matter how far the system is from equilibrium. An explicit expression for the entropy of a system possibly not in equilibrium is given in terms of this operator. The equation of motion for the operator is derived, and the coupled, nonlinear, integrodifferential equations of motion for the thermodynamic coordinates follow immediately.