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Ensemble equivalence for non-Bolztmannian distributions

Raul Toral
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Abstract

We discuss the possibility of using generalized canonical distributions, i.e. using other factors than $\exp(-βE)$, 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.

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Raul Toral. 2005-09-30. Ensemble equivalence for non-Bolztmannian distributions. https://arxiv.org/abs/cond-mat/0403292

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