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Gibbs-Non Gibbs Transitions in Different Geometries: The Widom-Rowlinson Model Under Stochastic Spin-Flip Dynamics

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Book cover Statistical Mechanics of Classical and Disordered Systems (StaMeClaDys 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 293))

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Abstract

The Widom-Rowlinson model is an equilibrium model for point particles in Euclidean space. It has a repulsive interaction between particles of different colors, and shows a phase transition at high intensity. Natural versions of the model can moreover be formulated in different geometries: in particular as a lattice system or a mean-field system. We will discuss recent results on dynamical Gibbs-non Gibbs transitions in this context. Main issues will be the possibility or impossibility of an immediate loss of the Gibbs property, and of full-measure discontinuities of the time-evolved models.

Collaborations with Benedikt Jahnel, Sascha Kissel, Utkir Rozikov.

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Acknowledgements

I am very grateful I met Anton, for all the discussions I had with him, and for all inspiration he gave, during my Ph.D., in later years, until today. I wish him many many more years, I am looking forward to many more of his contributions, to mathematics and beyond!

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Authors and Affiliations

  1. Fakultät für Mathematik, Ruhr-University of Bochum, Postfach 102148, 44721, Bochum, Germany

    Christof Külske

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  1. Christof Külske
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Correspondence to Christof Külske .

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Editors and Affiliations

  1. Aix-Marseille Université CNRS, Institut de Mathématiques de Marseille, Marseille, France

    Véronique Gayrard

  2. Baruch College, CUNY, New York, NY, USA

    Louis-Pierre Arguin

  3. Goethe-Universität Frankfurt, Frankfurt am Main, Hessen, Germany

    Nicola Kistler

  4. Laboratoire de Probabilités, Pierre and Marie Curie University VI, Paris, France

    Irina Kourkova

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Külske, C. (2019). Gibbs-Non Gibbs Transitions in Different Geometries: The Widom-Rowlinson Model Under Stochastic Spin-Flip Dynamics. In: Gayrard, V., Arguin, LP., Kistler, N., Kourkova, I. (eds) Statistical Mechanics of Classical and Disordered Systems . StaMeClaDys 2018. Springer Proceedings in Mathematics & Statistics, vol 293. Springer, Cham. https://doi.org/10.1007/978-3-030-29077-1_1

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