17 citations · 23 across the 5 of their papers we have counts for
5 papers
Gradient systems and asymmetric relaxations in view of Riemannian geometry
Alessandro Bravetti, Miguel Ángel García Ariza, José Roberto Romero-Arias
In dually flat manifolds, there is a deep connection between gradient flows and pregeodesics. This was one of the many important contributions of Amari to information geometry. In…
Optimizing information flow in Gene Regulatory Networks: a geometric perspective
Miguel Ángel García-Ariza, Alessandro Bravetti, Pablo Padilla +1
The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks…
Adiabatic lapse rate of real gases
Bogar Díaz, Miguel Ángel García Ariza, J. E. Ramírez
We derive a formula for the dry adiabatic lapse rate of atmospheres composed of real gases. We restrict our study to those described by a family of two-parameter cubic equations of…
Effects of the second virial coefficient on the adiabatic lapse rate of dry atmospheres
Emilio Alvarez Navarro, Bogar Díaz, Miguel Ángel García-Ariza +1
We study the effect of the second virial coefficient on the adiabatic lapse rate of a dry atmosphere. To this end, we compute the corresponding adiabatic curves, the internal energ…
Geometric thermodynamics: black holes and the meaning of the scalar curvature
Miguel Á. García-Ariza, Merced Montesinos, Gerardo F. Torres del Castillo
In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatne…