22 citations · 61 across the 11 of their papers we have counts for
11 papers
Information geometry and Bose-Einstein condensation
Pedro Pessoa
It is a long held conjecture in the connection between information geometry (IG) and thermodynamics that the curvature endowed by IG diverges at phase transitions. Recent work on t…
Revisiting Claims in "Black Hole Entropy: A Closer Look"
Pedro Pessoa, Bruno Arderucio Costa, Steve Pressé
Here we explain how C. Tsallis' reply (Entropy 2021, 23(5), 630) fails to respond to points raised in (Entropy 2020, 22(10), 1110) and introduces further inconsistencies on the ori…
Bose-Einstein statistics for a finite number of particles
Pedro Pessoa
This article presents a study of the grand canonical Bose-Einstein (BE) statistics for a finite number of particles in an arbitrary quantum system. The thermodynamical quantities t…
Statistical Mechanics of Unconfined Systems: Challenges and Lessons
Bruno Arderucio Costa, Pedro Pessoa
Motivated by applications of statistical mechanics in which the system of interest is spatially unconfined, we present an exact solution to the maximum entropy problem for assignin…
Entropic dynamics yields reciprocal relations
Pedro Pessoa
Entropic dynamics is a framework for defining dynamical systems that is aligned with the principles of information theory. In an entropic dynamics model for motion on a statistical…
Entropic Dynamics of Networks
Felipe Xavier Costa, Pedro Pessoa
Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum ent…
Legendre transformation and information geometry for the maximum entropy theory of ecology
Pedro Pessoa
Here I investigate some mathematical aspects of the maximum entropy theory of ecology (METE). In particular I address the geometrical structure of METE endowed by information geome…
Information geometry for Fermi-Dirac and Bose-Einstein quantum statistics
Pedro Pessoa, Carlo Cafaro
Information geometry is an emergent branch of probability theory that consists of assigning a Riemannian differential geometry structure to the space of probability distributions.…
Comment on "Black Hole Entropy: A Closer Look"
Pedro Pessoa, Bruno Arderucio Costa
In a recent paper [Entropy 2020, 22(1), 17] C. Tsallis states that entropy -- as in Shannon's or Kullback-Leiber's definitions -- is inadequate to interpret black hole entropy and…
Lagrangian dynamics and heat transfer in porous media convection
Shuang Liu, Linfeng Jiang, Cheng Wang +1
We report a numerical study of Rayleigh--Bénard convection through random porous media using pore-scale modelling, focusing on the Lagrangian dynamics of fluid particles and heat t…
Exact Renormalization Groups as a form of Entropic Dynamics
Pedro Pessoa, Ariel Caticha
The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom. What all these methods have…