Retarded Electromagnetic Interaction and Dynamic Foundation of Classical   Statistical Mechanics and Elimination of Reversibility Paradox of Time   reversal
  It is proved in the paper that the non-conservative dissipative force and asymmetry of time reversal can be naturally introduced into classical statistical mechanics after retarded electromagnetic interaction between charged microparticles is considered. In this way, the rational dynamic foundation for classical statistical physics can established and the revised Liouville equation is obtained. The micro-canonical ensemble, the canonical ensemble, the distribution of near-independent subsystem, the distribution law of the Maxwell- Boltzmann and the Maxwell distribution of velocities are achieved directly from the Liouville equation without using the hypothesis of equal probability. The micro-canonical ensemble is considered unsuitable as the foundation of equivalent state theory again, for most of equivalent states of isolated systems are not the states with equal probabilities actually. The reversibility paradoxes in the processes of non-equivalent evolutions of macro-systems can be eliminated completely, and the united description of statistical mechanics of equivalent and nonequivalent states is reached. The revised BBKGY series equations and hydromechanics equations are reduced, the non-equivalent entropy of general systems is defined and the principle of entropy increment of the non-equivalent entropy is proved at last. 
Mei Xiaochun