activity
20022021
most citedGeometry of contours and Peierls estimates in d=1 Ising models

39 citations · 132 across the 11 of their papers we have counts for

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7 papers · 1 filter

math-ph2021★ 2 cited

Reservoirs, Fick law and the Darken effect

Anna De Masi, Immacolata Merola, Errico Presutti

We study the stationary measures of Ginzburg-Landau (GL) stochastic processes which describe the magnetization flux induced by the interaction with reservoirs. To privilege simplic…

math-ph2017★ 2 cited

Renewal properties of the Ising model

Marzio Cassandro, Immacolata Merola, Errico Presutti

We consider the Ising model with Kac potentials at inverse temperature where mean field predicts a phase transition with two possible equilibrium magnetization $\pm m_β…

math-ph2016★ 11 cited

Phase separation for the long range one--dimensional ising model

Marzio Cassandro, Immacolata Merola, Pierre Picco

We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where denotes the dis…

math-ph2010★ 1 cited

Study of a long range perturbation of a one-dimensional Kac model

Marzio Cassandro, Immacolata Merola, Maria Eulalia Vares

We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a long range perturbation of the usual Kac model. We apply a coarse grain…

math-ph2008★ 28 cited

Coexistence of ordered and disordered phases in Potts models in the continuum

Anna De Masi, Immacolata Merola, Errico Presutti +1

This is the second of two papers on a continuum version of the Potts model, where particles are points in , , with a spin which may take possible valu…

math-ph2006★ 14 cited

First-Order Phase Transition in Potts Models with finite-range interactions

Thierry Gobron, Immacolata Merola

We consider the -state Potts model on , , , with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order…