The manybody problem and the equations of state for thermodynamic systems
Abstract
The problem of finding an explicit form for the functional dependence of characteristic functions on macroparameters for the equilibrium states of thermodynamic systems is considered. The properties of an equilibrium phase distribution and the statistical characteristics of the equilibrium states of thermodynamic systems are investigated, and on this basis a partitionable equation is obtained from the Liouville equation yielding two solutions. These solutions lead to two microstate density probability distributions (exponential and 'new' distribution), which form the basis for establishing the interrelation between statistical mechanics and thermodynamics.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1975
 Bibcode:
 1975STIA...7614987K
 Keywords:

 Equations Of State;
 Many Body Problem;
 Thermodynamic Equilibrium;
 Canonical Forms;
 Differential Equations;
 Distribution Functions;
 Gibbs Phenomenon;
 Ideal Gas;
 Integral Equations;
 Liouville Equations;
 Probability Density Functions;
 Thermodynamics and Statistical Physics