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On the microscopic foundation of thermodynamics and kinetics. Current status and prospects

A. Yu. Zakharov

Abstract

A comparative analysis of two concepts aimed at microscopic substantiation of thermodynamics and kinetics has been performed. The first concept is based on the idea of microscopic reversibility of the dynamics of a system of particles, while macroscopic irreversibility is of statistical origin. The second concept is based on the idea of the initial microscopic irreversibility of dynamics, one of the mechanisms of which is the relativistic retardation of interactions between particles.

On the microscopic foundation of thermodynamics and kinetics. Current status and prospects

Abstract

A comparative analysis of two concepts aimed at microscopic substantiation of thermodynamics and kinetics has been performed. The first concept is based on the idea of microscopic reversibility of the dynamics of a system of particles, while macroscopic irreversibility is of statistical origin. The second concept is based on the idea of the initial microscopic irreversibility of dynamics, one of the mechanisms of which is the relativistic retardation of interactions between particles.
Paper Structure (21 sections, 19 equations)

This paper contains 21 sections, 19 equations.

Table of Contents

  1. Introduction
  2. Open problems of thermodynamics
  3. The problem of the existence of thermodynamic equilibrium
  4. The problem of reconciling deterministic classical mechanics and the concept of probability
  5. The problem of the existence of probability measures in phase space
  6. Development of statistical mechanics after Gibbs
  7. Relativistic dynamics of a system of particles within the framework of the theory of direct interparticle interaction
  8. Theory of oscillations in systems with retarded interactions
  9. Relativistic dynamics of a system of particles with direct interparticle interaction
  10. Relativistic dynamics of a particle system within the framework of the field theory of interatomic interactions
  11. Equations of auxiliary fields
  12. Mathematical structure of the equations of free auxiliary fields
  13. Factorization of operators
  14. Properties of solutions of the auxiliary fields equations
  15. Free field
  16. ...and 6 more sections