3 papers
math.PR2025
Emergence of metastability on the hyperbolic lattice: Effects of boundary conditions
Vanessa Jacquier, Wioletta M. Ruszel
We investigate the Ising model on finite subgraphs of the hyperbolic lattice under minus boundary conditions and in the presence of a positive external field . Interpreting the…
math.PR2025
Estimate of the exit time for the Long Range Ising model on random regular graphs
Vanessa Jacquier
We investigate the metastable behavior of the long-range Ising model on random regular graphs under Glauber dynamics at low-temperature. We estimate the energy barrier and exit tim…
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…