Homogeneity and thermodynamic identities in geometrothermodynamics

Identities on hyperbolic manifolds and quasiconformal homogeneity of hyperbolic surfaces

Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses.

We present a technique to generate relations connecting pure state weights, overlaps, and correlation functions in short-range spin glasses. These are obtained directly from the unperturbed Hamiltonian and hold for general coupling distributions. All are satisfied in phases with simple thermodynamic structure, such as the droplet-scaling and chaotic pairs pictures. If instead nontrivial mixed-s...

Geometrothermodynamics of asymptotically de Sitter black holes

We apply the formalism of geometrothermodynamics to the case of black holes with cosmological constant in four and higher dimensions. We use a thermodynamic metric which is invariant with respect to Legendre transformations and determines the geometry of the space of equilibrium states. For all known black holes in higher dimensions, we show that the curvature scalar of the thermodynamic metric...

Geometrothermodynamics of the Kehagias-Sfetsos Black Hole

The application of information geometric ideas to statistical mechanics using a metric on the space of states, pioneered by Ruppeiner and Weinhold, has proved to be a useful alternative approach to characterizing phase transitions. Some puzzling anomalies become apparent, however, when these methods are applied to the study of black hole thermodynamics. A possible resolution was suggested by Qu...

Thermodynamic Bethe Ansatz and Dilogarithm Identities I. Edward Frenkel and András Szenes

In the decade that has passed since the seminal work [1] by A.A. Belavin, A.P. Polyakov, and A.B. Zamolodchikov, a lot of progress has been made in understanding Conformal Field Theories (CFTs) in two dimensions. The success in the study of CFTs is due to their invariance with respect to the Virasoro algebra, or, more generally, extended conformal algebras. This property allows one to describe ...