Elliptic aspects of statistical mechanics on spheres

Details Elliptic aspects of statistical mechanics on spheres Elliptic aspects of statistical mechanics on spheres

2008-07-12

arxiv.org/abs/0807.1995v1

J.Math.Phys.49:113513,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages. JyTex

Scientific paper

10.1063/1.3025431

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.

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