3 papers
math.PR2026
The Ising Model on a Two-Community Stochastic Block Model
Alessandra Bianchi, Vanessa Jacquier, Matteo Sfragara
We study the Ising model on a two-community stochastic block model, where spins are split into two equal groups with inter-community interaction parameter . We pro…
math.PR2024
Particle transport based study of nucleation in a ferromagnetic three-state spin system with conservative dynamics
Vanessa Jacquier, Emilio Nicola Maria Cirillo, Cristian Spitoni
We pose the problem of metastability for a three--state spin system with conservative dynamics. We consider the Blume--Capel model with the Kawasaki dynamics, we prove that, in a p…
math-ph2023
Homogeneous and heterogeneous nucleation in the three--state Blume--Capel model
Emilio N. M. Cirillo, Vanessa Jacquier, Cristian Spitoni
The metastable behavior of the stochastic Blume--Capel model with Glauber dynamics is studied when zero-boundary conditions are considered. The presence of zero-boundary conditions…