I evaluate the thermodynamic curvature R for fourteen pure fluids along their liquid-vapor
coexistence curves, from the critical point to the triple point, using thermodynamic input from …

Using the square-root map p→√ pa probability density function p can be represented as a
point of the unit sphere in the Hilbert space of square-integrable functions. If the density …

We present the fundamentals of geometrothermodynamics, an approach to study the
properties of thermodynamic systems in terms of differential geometric concepts. It is based …

Based on the observations that there exists an analogy between the Reissner–Nordström–
Anti-de Sitter (RN–AdS) black holes and the van der Waals–Maxwell liquid-gas system, in …

Singularities in the thermodynamics of Kerr-Newman black holes are commonly associated
with phase transitions. However, such interpretations are complicated by a lack of stability …

The thermodynamics of black holes is reformulated within the context of the recently
developed formalism of geometrothermodynamics. This reformulation is shown to be …

We investigate thermodynamic curvatures of the Kerr and Reissner-Nordström (RN) black
holes in spacetime dimensions higher than four. These black holes possess thermodynamic …

Thermodynamic fluctuation theory originated with Einstein, who inverted the relation S= k B
ln Ω to express the number of states in terms of entropy: Ω= exp (S/k B)⁠. The theory's …

In my talk, I will discuss black hole thermodynamics, particularly what happens when you
add thermodynamic curvature to the mix. Although black hole thermodynamics is a little off …

Following our earlier work on the Ruppeiner geometry of an anyon gas [B. Mirza and H.
Mohammadzadeh, Phys. Rev. E 78, 021127 (2008)], we will derive nonperturbative …