Solution of the Equations of Statistical Mechanics
- 1 March 1961
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 2 (2), 222-231
- https://doi.org/10.1063/1.1703703
Abstract
The solution of the initial value problem for Bogoliubov's functional differential equation of nonequilibrium statistical mechanics is obtained. This solution is then expanded in an infinite power series in the density which has the advantage that the calculation of the leading terms requires the solution of s‐body problems only for small values of s. A derivation of the equilibrium equations by reduction from the nonequilibrium equation is included. These results are applied to obtain a simple derivation of the Boltzmann equation.Keywords
This publication has 3 references indexed in Scilit:
- Formal Solution of the Equations of Statistical EquilibriumPhysics of Fluids, 1959
- Boltzmann Equation from the Statistical Mechanical Point of ViewThe Journal of Chemical Physics, 1956
- The Statistical Mechanical Theory of Transport Processes II. Transport in GasesThe Journal of Chemical Physics, 1947