Accession Number : ADA028082

Title :   On a Possible Formulation of Particle Dynamics in Terms of Thermodynamic Conceptualizations and the Role of Entropy In It

Descriptive Note : Master's thesis

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Williams, Pharis E

PDF Url : ADA028082

Report Date : Jun 1976

Pagination or Media Count : 154

Abstract : It is shown that the laws of particle dynamics can be formulated in a thermodynamic framework. An important role is played by an integrating factor which makes the energy exchange with the environment a total differential and leads to the definition of a mechanical entropy. The integrating factor is shown to be a function of velocity only and an argument following Caratheodory's proves the existence of a unique limiting velocity which makes its appearance in the integrating factor. Equilibrium and stability conditions for dynamic systems are derived and lead to the formulation of dynamics as processes in a space- entropy manifold the metric of which is determined by the nature of the system. The dynamic laws follow from a variational principle. For the case of isentropic processes and with a particular choice of the integrating factor they are shown to be the laws of special relativistic mechanics. More general dynamic processes are discussed.

Descriptors :   *THERMODYNAMICS, *ENTROPY, *PARTICLES, *DYNAMICS, GEODESICS, THESES, EQUILIBRIUM(GENERAL), EQUATIONS OF MOTION, STABILITY, MATHEMATICAL MODELS

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE