arXiv subjects

M. N. Quevedo

Publications and source records attributed to M. N. Quevedo.

4 recordsLinked to original sources

arXiv2026

Geometrothermodynamics and critical behavior of regular black holes

We apply the formalism of quasi-homogeneous geometrothermodynamics to study the stability, phase transition, and criticality properties of the Bardeen regular black hole. We show that the singularities of thermodynamic curvature determine the regions where the stability conditions break down and indicate the location of the Davies phase transition and the zero-temperature limiting case. Moreover, we compute the critical exponents of the curvature and prove the existence of a scaling relation with the heat capacity.

gr-qc↗

arXiv2016

Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain points of the equilibrium space, the thermodynamic curvature is characterized by the presence of singularities that are interpreted as phase transitions. We also investigate the phase transition structure by using the standard approach of black hole thermodynamics based upon the analysis of the heat capacity and response functions. We show compatibility between the two approaches. In addition, a new type of phase transition is found which is due to the presence of phantom energy and corresponds to a transition between black hole states with different stability properties.

gr-qc↗

arXiv2016

Geometrothermodynamics of phantom AdS black holes

We show that to investigate the thermodynamic properties of charged phantom spherically symmetric anti-de-Sitter black holes, it is necessary to consider the cosmological constant as a thermodynamic variable so that the corresponding fundamental equation is a homogeneous function defined on an extended equilibrium space. We explore all the thermodynamic properties of this class of black holes by using the classical physical approach, based upon the analysis of the fundamental equation, and the alternative mathematical approach as proposed in geometrothermodynamics. We show that both approaches are compatible and lead to equivalent results.

gr-qc↗

arXiv2011

Statistical thermodynamics of economic systems

We formulate thermodynamics of economic systems in terms of an arbitrary probability distribution for a conserved economic quantity. As in statistical physics, thermodynamic macroeconomic variables emerge as the mean value of microeconomic variables and their determination is reduced to the computation of the partition function, starting from an arbitrary function. Explicit hypothetical examples are given which include linear and nonlinear economic systems, as well as multiplicative systems such as those dominated by a Pareto law distribution. We propose to use the formalism of phase transitions to study severe changes of macroeconomic variables.

q-fin.ST↗