摘要
The celebrated H-theorem of Boltzmann has important physical significance. The H-theorem states that entropy cannot diminish, and that the distribution function f（z, t） must tend towards its equilibrium state.In this paper, using the relationship between solutions of Boltzmann equation and the two-particle Boltzmann equation system, we obtain three forms of Two-Particle Boltzmann H-theorem from the two-particle Boltzmann equation system of BBGGKY hierarchy, and give an application example for the Two-Particle Boltzmann H-theorem. Also, the relation between entropy and the Two-Particle Boltzmann H-theorem is obtained.
The celebrated H-theorem of Boltzmann has important physical significance. The H-theorem states that entropy cannot diminish, and that the distribution function f（z, t） must tend towards its equilibrium state.In this paper, using the relationship between solutions of Boltzmann equation and the two-particle Boltzmann equation system, we obtain three forms of Two-Particle Boltzmann H-theorem from the two-particle Boltzmann equation system of BBGGKY hierarchy, and give an application example for the Two-Particle Boltzmann H-theorem. Also, the relation between entropy and the Two-Particle Boltzmann H-theorem is obtained.
基金
Supported by Natural Science Foundation of Inner Mongolia Autonomous Region of china(Grant No.2015MS0110)
the Research Program of Science and Technology at Universities of Inner Mongolia Autonomous Region(Grant No.NJZY14276)
