A current algebra approach to the equilibrium classical statistical mechanics and its applications
Statistical Mechanics
2013-07-16 v1 Mathematical Physics
math.MP
Abstract
The non-relativistic current algebra approach is analyzed subject to its application to studying the distribution functions of many-particle systems at the temperature equilibrium and their stability properties. We show that the classical Bogolubov generating functional method is a very effective tool for constructing the irreducible current algebra representations and the corresponding different generalized measure expansions including collective variables transform. The effective Hamiltonian operator construction and its spectrum peculiarities subject to the stability of equilibrium many-particle systems are discussed.
Cite
@article{arxiv.1307.3867,
title = {A current algebra approach to the equilibrium classical statistical mechanics and its applications},
author = {N. N. Bogolubov and A. K. Prykarpatsky},
journal= {arXiv preprint arXiv:1307.3867},
year = {2013}
}
Comments
13 pages