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Macroscopic Limit of a Bipartite Curie–Weiss Model: A Dynamical Approach

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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.

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Acknowledgments

The author thanks Dr. Alessandra Bianchi and Prof. Pierluigi Contucci for valuable comments and fruitful discussions. This work was supported by the FIRB research Grant RBFR10N90W.

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  1. Dipartimento di Matematica, Alma Mater Studiorum Università di Bologna, Piazza di Porta San Donato 5, 40126, Bologna, Italy

    Francesca Collet

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  1. Francesca Collet
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Correspondence to Francesca Collet.

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Collet, F. Macroscopic Limit of a Bipartite Curie–Weiss Model: A Dynamical Approach. J Stat Phys 157, 1301–1319 (2014). https://doi.org/10.1007/s10955-014-1105-9

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  • DOI: https://doi.org/10.1007/s10955-014-1105-9

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