80 citations · 336 across the 36 of their papers we have counts for
37 papers
The BEG model at the FAD triple point on the square lattice
Estevão F. Borel, Aldo Procacci, Rémy Sanchis +1
In this note, we prove that the two-dimensional Blume-Emery-Griffiths model at the triple point Ferromagnetic-Antiquadrupolar-Disordered (FAD) has a unique Gibbs measure at any tem…
Cluster expansion methods in rigorous statistical mechanics
Aldo Procacci
This draft is intended to be used as class notes for a grad course on rigorous statistical mechanics at math department of UFMG. It should be considered as a very prelimivary versi…
On the local central limit theorem for interacting spin systems
Aldo Procacci, Benedetto Scoppola
We prove the equivalence between integral and local central limit theorem for spin system interacting via an absolutely summable pair potential without any conditions on the temper…
The Blume-Emery-Griffiths model at the FAD and AD interfaces
Paulo C. Lima, Riccardo Mariani, Aldo Procacci +1
We analyse the Blume-Emery-Griffiths (BEG) model on the lattice $\Zd$ at the ferromagnetic-antiquadrupolar-disordered (FAD) and antiquadrupolar-disordered (AD) interfaces of parame…
Cluster expansion for continuous particle systems interacting via an attractive pair potential and subjected to high density boundary conditions
Paula M. S. Fialho, Bernardo N. B. de Lima, Aldo Procacci
We propose a method based on cluster expansion to study the low activity/high temperature phase of a continuous particle system confined in a finite volume, interacting through a s…
Classical particles in the continuum subjected to high density boundary conditions
Aldo Procacci, Sergio A. Yuhjtman
We consider a continuous system of classical particles confined in a finite region of interacting through a superstable and tempered pair potential in presence o…