29 citations · 221 across the 34 of their papers we have counts for
21 papers · 1 filter
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…
Two Layer Model via Non Quasi Periodic Normal Form Theory
Gabriella Pinzari, Benedetto Scoppola, Matteo Veglianti
The two layer model is a 2+1/2 degrees of freedom non autonomous dynamical system whose lower order expansion exhibits capture in resonance, numerically detected in a previous pape…
Spin orbit resonance cascade via core shell model. Application to Mercury and Ganymede
Pinzari Gabriella, Scoppola Benedetto, Veglianti Matteo
We discuss a model describing the spin orbit resonance cascade. We assume that the primary has a two-layer (core-shell) structure: it is composed by a thin solid crust and an inner…
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…
Lonely planets and light belts: the Statistical Mechanics of Gravitational Systems
Gabriella Pinzari, Benedetto Scoppola, Alessio Troiani
In this paper we propose a notion of stability, that we call -stability, for systems of particles interacting via Newton's gravitational potential, and orbiting a much bigger…