球面上统计力学的椭圆问题
Elliptic aspects of statistical mechanics on spheres
摘要：
我们早先关于奇数球上的温度反演性质和有限温度内能的椭圆化的结果被推广到奇数球的轨道因子，然后推广到其他热力学量，特别是比热。模块化变换下的行为是方便的模块化协变导数的引入，它表明，在任何奇数球的比热可以表示在只有三个功能。还表明，圆上的自由能可以写成椭圆形。
英文摘要：
Our earlier results on the temperature inversion properties and the ellipticisation of the finite temperature internal energy on odd spheres are extended to orbifold factors of odd spheres and then to other thermodynamic quantities, in particular to the specific heat. The behaviour under modular transformations is facilitated by the introduction of a modular covariant derivative and it is shown that the specific heat on any odd sphere can be expressed in terms of just three functions. It is also shown that the free energy on the circle can be written elliptically.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
