On a Possible Formulation of Particle Dynamics in Terms of Thermodynamic Conceptualizations and the Role of Entropy In It
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1976
- Accession Number
- ADA028082
Entities
People
- Pharis E. Williams
Organizations
- Naval Postgraduate School