Ensemble equivalence for non-Bolztmannian distributions
Statistical Mechanics
2007-05-23 v3
Abstract
We discuss the possibility of using generalized canonical distributions, i.e. using other factors than , in order to compute the equilibrium properties of physical systems. It will be show that some other choices can, in certain cases, lead to a simpler calculation of those properties. The corresponding equivalence between the canonical and the generalized canonical distributions is derived using well-known principles of Statistical Mechanics and we exemplify the method by deriving in a simple way the equilibrium properties of the long--range Ising model.
Cite
@article{arxiv.cond-mat/0403292,
title = {Ensemble equivalence for non-Bolztmannian distributions},
author = {Raul Toral},
journal= {arXiv preprint arXiv:cond-mat/0403292},
year = {2007}
}