10 citations · 21 across the 3 of their papers we have counts for
5 papers · 1 filter
Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line
Philippe Blanchard, Daniel Gandolfo, Jean Ruiz +1
We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature , in presence of an external field . Both thermodynamic and topological aspec…
On the Kertész line: Some rigorous bounds
Jean Ruiz, Marc Wouts
We study the Kertész line of the --state Potts model at (inverse) temperature , in presence of an external magnetic field . This line separates two regions of the phase di…
Lower Spectral Branches of a Spin-Boson Model
Nicolae Angelescu, Robert Minlos, Jean Ruiz +1
We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bo…
On the mean Euler characteristic and mean Betti numbers of the Ising model with arbitrary spin
Philippe Blanchard, Christophe Dobrovolny, Daniel Gandolfo +1
The behaviour of the mean Euler-Poincaré characteristic and mean Betti's numbers in the Ising model with arbitrary spin on $\mathbbm{Z}^2$ as functions of the temperature is invest…
On the Surface Tensions of Binary Mixtures
Jean Ruiz
For binary mixtures with fixed concentrations of the species, various relationships between the surface tensions and the concentrations are briefly reviewed.