Foundations of non-equilibrium statistical mechanics
- 15 February 1994
- journal article
- Published by The Royal Society in Philosophical Transactions A
- Vol. 346 (1680) , 259-305
- https://doi.org/10.1098/rsta.1994.0022
Abstract
Two separate ‘schools’ have offered what are claimed to be general foundations for the subject of non-equilibrium statistical mechanics, based respectively on subdynamics and information theory. These appear to be unrelated, to start from conflicting interpretations of probability, to generate different methodology and to be useful in non-overlapping applications. The present paper is a study of the relation between the work of the two schools. After reviewing them critically in a presentation that unifies the notation used, the connection between them is developed. It is concluded, subject to some provisos, that they are equivalent. It is suggested that the subject could be unified on this basis, and that the methodologies be made more generally available.Keywords
This publication has 30 references indexed in Scilit:
- Explaining statistical mechanicsStudies in History and Philosophy of Science, 1993
- Application of the method of spectral deformation to the Vlasov-poisson systemAnnals of Physics, 1989
- Foundations of Statistical MechanicsPublished by Springer Nature ,1988
- The Bakerian Lecture, 1987. Quantum chaologyProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1987
- On the time-dependent formulation of analytical continuation in non-equilibrium statistical mechanicsPhysica A: Statistical Mechanics and its Applications, 1987
- Remarks on a recent article of Ch. Obcemea and E. Brändas on the theory of subdynamicsAnnals of Physics, 1986
- Information theory and Riemann spaces: An invariant reformulationPhysical Review A, 1985
- How random is a coin toss?Physics Today, 1983
- Principle of maximum entropy and irreversible processesPhysics Reports, 1980
- The Formal Theory of ScatteringPhysical Review B, 1953