199 citations · 521 across the 20 of their papers we have counts for
20 papers
Fractal entropies from the Second Inverse Maximum Entropy Principle
Marcelo R. Ubriaco
With use of the Second Inverse Maximum Entropy Principle we find entropy functions for systems with fractal distribution functions with order parameter . We compare these entrop…
Density matrix for a consistent non-extensive thermodynamics
Marcelo R. Ubriaco
Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in \cite{CMP}, we obtain the corresponding density m…
The role of curvature in quantum statistical mechanics
Marcelo R. Ubriaco
In this manuscript, we calculate the scalar curvature of a two-dimensional thermodynamic space to study the properties of two thermodynamic systems. In particular, we study the sta…
Thermodynamics of bosons systems related to Dunkl differential-difference operators
Marcelo R. Ubriaco
We study the thermodynamics of systems based on a Fock space representation inspired by the differential-difference operators proposed in Ref. \cite{Dunkl}. We calculate thermodyna…
Stability and anyonic behavior of systems with M-statistics
Marcelo R. Ubriaco
Starting with the partition function for systems with -statistics, as proposed in \cite{WND}, we calculate from the metric the…
Geometry of Quantum Group invariant systems
Marcelo R. Ubriaco
Starting with the partition functions for quantum group invariant systems we calculate the metric in the two-dimensional space defined by the parameters and and the cor…
Scalar curvature of systems with fractal distribution functions
Marcelo R. Ubriaco
Starting with the relative entropy for two close statistical states we define the metric and calculate the scalar curvature for systems with classical, boson and fermion fracta…
A simple mathematical model for anomalous diffusion via Fisher's information theory
Marcelo R. Ubriaco
Starting with the relative entropy based on a previously proposed entropy function , we find the corresponding Fisher's information measure. After…
Entropies based on fractional calculus
Marcelo R. Ubriaco
We propose entropy functions based on fractional calculus. We show that this new entropy has the same properties than the Shannon entropy except additivity, therefore making this e…
Linear model of tumor growth in a changing environment
José F. Nieves, Marcelo R. Ubriaco
We propose a model for describing the growth on an untreated tumor, which is characterized in a simple way by a minimal number of parameters with a well-defined physical interpreta…
Quantum group invariant, nonextensive quantum statistical mechanics
Marcelo R. Ubriaco
We study the consequences of introducing quantum group invariance in the formalism of nonextensive quantum statistical mechanics. We find that the corresponding thermodynamical sys…
Effect of quantum group invariance on trapped Fermi gases
Marcelo R. Ubriaco
We study the properties of a thermodynamic system having the symmetry of a quantum group and interacting with a harmonic potential. We calculate the dependence of the chemical pote…
λ-transition in low dimensional systems with SU_q(2) symmetry
Marcelo R. Ubriaco
We show that invariant systems in one and two dimensions exhibit Bose-Einstein condensation for . For these systems there is a -transition at the critical temper…
Bose-Einstein condensation of a quantum group gas
Marcelo R. Ubriaco
We study the Bose-Einstein condensation of a gas with symmetry. We show, in the thermodynamic limit, that the boson interactions introduced by the quantum group symmetrie…
Anyonic behavior of quantum group fermionic and bosonic systems
Marcelo R. Ubriaco
We discuss the role that quantum group symmetries, in particular , play in a thermodynamic system at high temperatures. We show that the interactions introduced by the qua…
Anyonic behavior of quantum group gases
Marcelo R. Ubriaco
We first introduce and discuss the formalism of -bosons and fermions and consider the simplest Hamiltonian involving these operators. We then calculate the grand partition…
High and low temperature behavior of a quantum group fermion gas
Marcelo R. Ubriaco
We consider the simplest invariant fermionic hamiltonian and calculate the low and high temperature behavior for the two distinct cases and . For low tempera…
Thermodynamics of a free fermionic system
Marcelo R. Ubriaco
We calculate the partition function, average occupation number and internal energy for a fermionic system and compare this model at with the ordinary fermionic, $q=…
Complex -Analysis and Scalar Field Theory on a -Lattice
Marcelo R. Ubriaco
We develop the basic formalism of complex -analysis to study the solutions of second order -difference equations which reduce, in the limit, to the ordinary…
Quantum Group Schrödinger Field Theory
Marcelo R. Ubriaco
We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size . Then, based…