标题： 超统计学与长程相互作用系统中广义系综等价性的研究 显示英文标题

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

摘要： 所谓的$\chi^{2}$-超统计学由Beck和Cohen（BC）提出，被用来研究长程的Blume-Capel模型，这是一个著名的代表系统，表现出规范系综和微正则系综相图的非等价性。 虽然不受任何特定热力学极限的限制，但我们的分析结果在非扩展参数$q$被适当调整时，可以平滑地恢复规范系综和微正则系综的解。 此外，我们将我们的结果与之前从一个名为扩展高斯系综（EGE）的广义规范框架中获得的结果进行比较。 最后，我们证明在热力学层面，EGE和BC的解是等价的。 显示英文摘要

摘要： The so-called $\chi^{2}$-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.