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):

Report Date:

1976-06-01

Pagination or Media Count:

154.0

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 Caratheodorys 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.

Subject Categories:

  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE