Ensemble equivalence for non-Boltzmannian distributions

Raúl Toral

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 85-90

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 shown 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.

Keywords: Jaynes principle; Long-range interactions (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:85-90

DOI: 10.1016/j.physa.2006.01.040

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