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Rhythmic behavior of an Ising Model with dissipation at low temperature
Raphael Cerf, Paolo Dai Pra, Marco Formentin +1
In this paper we consider the Glauber dynamics for the one-dimensional Ising model with dissipation, in a mesoscopic regime obtained by letting inverse temperature and volume go to…
Oscillatory behavior in a model of non-Markovian mean field interacting spins
Paolo Dai Pra, Marco Formentin, Guglielmo Pelino
We analyze a non-Markovian mean field interacting spin system, related to the Curie--Weiss model. We relax the Markovianity assumption by replacing the memoryless distribution of t…
A hierarchical mean field model of interacting spins
Paolo Dai Pra, Marco Formentin, Guglielmo Pelino
We consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled…
Effects of local fields in a dissipative Curie-Weiss model: Bautin bifurcation and large self-sustained oscillations
Francesca Collet, Marco Formentin
We modify the spin-flip dynamics of a Curie-Weiss model with dissipative interaction potential (Dai Pra, Fischer and Regoli (2013)) by adding a site-dependent i.i.d. random magneti…
Collective periodicity in mean-field models of cooperative behavior
Francesca Collet, Paolo Dai Pra, Marco Formentin
We propose a way to break symmetry in stochastic dynamics by introducing a dissipation term. We show in a specific mean-field model, that if the reversible model undergoes a phase…