Superstatistics and the quest of generalized ensembles equivalence in a system with long-range interactions

Nelson A. Alves and Rafael B. Frigori

Physica A: Statistical Mechanics and its Applications, 2016, vol. 446, issue C, 195-203

Abstract: The so-called χ2-superstatistics of Beck and Cohen (BC) is employed to investigate the infinite-range Blume–Capel model, a well-known representative system displaying inequivalence of canonical and microcanonical phase diagrams. While not being restricted to any of those particular thermodynamic limits, our analytical result can smoothly recover both canonical and microcanonical ensemble solutions as its nonextensive parameter q is properly tuned. Additionally, we compare our findings to ones previously obtained from a generalized canonical framework named Extended Gaussian ensemble (EGE). Finally, we show that both EGE and BC solutions are equivalent at the thermodynamic level.

Keywords: Superstatistics; Nonextensive statistical mechanics; Extended Gaussian ensemble; Blume–Capel model (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:446:y:2016:i:c:p:195-203

DOI: 10.1016/j.physa.2015.12.004

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