Accession Number : AD0261155

Title :   THEORY OF IRREVERSIBLE PROCESSES. I. PARAMETERS OF SMALLNESS

Corporate Author : COPENHAGEN UNIV (DENMARK)

Personal Author(s) : HIGGINS,JOSEPH

Report Date : 01 MAY 1961

Pagination or Media Count : 1

Abstract : The theory of irreversible processes proposed by Prigogine and Van Hove is reviewed and the master equation is rederived directly in the phase space without reference to the Fourier space. The assumptions involved are closely examined with particular emphasis on the justification of the master equation as derived from the Liouville equation. It is demonstrated that the conditiocules, Gases, Theory, Mathematical analysis, Motion, Reacon kinetics, Mechanics. The theory of irreversible processes proposed by Prigogine and Van Hove is reviewed and the master equation is rederived directly in the phase space without reference to the Fourier space. The assumptions involved are closely examined with particular emphasis on the justification of the master equation as derived from the Liouville equation. It is demonstrated that the conditions of a parameter of smallness (lambda) associated with the inteion kinetics, Mechanics. The theory of irreversible processes proposed by Prigogine and Van Hove is reviewed and the master equation is rederived directly in the phase space without reference to the Fourier space. The assumptions involved are closely examined with particular emphasis on the justification of the master equation as derived from the Liouville equation. It is demonstrated that the conditions of a parameter of smallness (lambda) associated with the interaction potential energy and large time (t) compared to a collision time are neither necessary or sufficient to justify the derivation of the master equation. A necessary, but physically restrictive, condition, is obtained, and the usefulness of the master equation is discussed. (Author)

Descriptors :   *IRREVERSIBLE PROCESSES, GASES, MATHEMATICAL ANALYSIS, MECHANICS, MOLECULES, MOTION, PARTICLES, REACTION KINETICS, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE