Derivation of Hydrodynamic Equations for the Quantum Systems of Diatomic Molecules
Abstract
Bogolyubov's method of derivation of the hydrodynamic equations from a quantumstatistical formalism, based on the array of distribution operators for clusters of s molecules, is adapted to the derivation of the hydrodynamic equations for a fluid composed of diatomic molecules. The general form of the hydrodynamic equations with an additional equation of angular momentum, which is coupled with the momentum equation through the antisymmetric part of the stress tensor, is obtained and all the interesting hydrodynamic quantities are calculated. A general procedure of derivation of the hydrodynamic equations by successive approximations is proposed and the equations of zeroth approximation are discussed.
 Publication:

Physical Review
 Pub Date:
 January 1960
 DOI:
 10.1103/PhysRev.117.1
 Bibcode:
 1960PhRv..117....1Z