摘要
使用1个新的非扩展能量模型研究统计物理学中的系综等效性问题.利用模型系统的配分函数和自旋组态数,分别在正则和微正则系综下计算系统的热力学函数自由能和熵等.计算结果显示,模型系统在正则描述下出现一级相变,而在微正则描述下不出现,表明正则和微正则系综对该系统相变级数的描述不等效.通过与其它模型比较可以预见,系综不等效可能是所有非扩展能量类系统共同的性质.这一结果为非扩展统计力学框架内的系综等效性研究提供新的证据.
A new non-extensive energy model derived from describing rumor is provided and used to study the equivalence of ensembles. The thermodynamic quantities, the free energy and entropy, of the model system are calculated respectively in both canonical and micro-canonical ensembles by using the partition function and spin configuration number. The computational result shows that there is a first-order transition in the system described by the canonical ensemble, but no when described by the micro-canonical ensemble. It means that both ensembles' descriptions of the transition's order in the model system are not equivalent. Comparing it with that of other models we predicate that ensembles inequivalence may be a common character of all non-extensive energy systems. This result provides a new proof for the researches of ensembles equivalence in the frame of non-extensive statistical mechanics.
出处
《湖北大学学报（自然科学版）》
CAS
2004年第4期303-306,共4页
Journal of Hubei University：Natural Science
基金
国家自然科学基金(19835040)(10075021)资助
