We analyze the Glauber dynamics for a bi-populated Curie-Weiss model. We obtain the limiting behavior of the empirical averages in the limit of infinitely many particles. We then characterize the phase space of the model in absence of magnetic field and we show that several phase transitions in the inter-groups interaction strength occur.

Macroscopic Limit of a Bipartite CurieWeiss Model: A Dynamical Approach

Collet F.
2014-01-01

Abstract

We analyze the Glauber dynamics for a bi-populated Curie-Weiss model. We obtain the limiting behavior of the empirical averages in the limit of infinitely many particles. We then characterize the phase space of the model in absence of magnetic field and we show that several phase transitions in the inter-groups interaction strength occur.
2014
Glauber dynamics
Interacting particle systems
Large deviations
McKean-Vlasov equation
Reversible Markov processes
Mean-field interaction
Phase transition
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1094155
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