29 citations · 29 across the 6 of their papers we have counts for
6 papers · 1 filter
Phase Transition in the 1d Random Field ising model with long range interaction
Marzio Cassandro, Enza Orlandi, Pierre Picco
We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume t…
Continuous interfaces with disorder: Even strong pinning is too weak in 2 dimensions
C. Kuelske, E. Orlandi
We consider statistical mechanics models of continuous height effective interfaces in the presence of a delta-pinning at height zero. There is a detailed mathematical understanding…
One-dimensional random field Kac's model: weak large deviations principle
Enza Orlandi, Pierre Picco
We prove a quenched weak large deviations principle for the Gibbs measures of a Random Field Kac Model (RFKM) in one dimension. The external random magnetic field is given by symme…
Correction note. Typical configuration for one-dimensional random field Kac model
Marzio Cassandro, Enza Orlandi, Pierre Picco
Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which…
A simple fluctuation lower bound for a disordered massless random continuous spin model in d=2
C. Kuelske, E. Orlandi
We prove a finite volume lower bound of the order of the squareroot of log N on the delocalization of a disordered continuous spin model (resp. effective interface model) in d = 2…
One-dimensional random field Kac's model: localization of the phases
Marzio Cassandro, Enza Orlandi, Pierre Picco +1
We study the typical profiles of a one dimensional random field Kac model, for values of the temperature and magnitude of the field in the region of the two absolute minima for the…