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Ageing and the Glass Transition pp 261–294Cite as

From Urn Models to Zero-Range Processes: Statics and Dynamics

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Part of the book series: Lecture Notes in Physics ((LNP,volume 716))

Abstract

The aim of these notes is a description of the statics and dynamics of zerorange processes (ZRP) [1] and of related models. These models are simplified models of physical reality. Yet, besides the fact that they play an important role in the elucidation of conceptual problems of statistical mechanics and probability theory, they are instrumental in the understanding of a variety of complex physical situations. For instance the Ehrenfest model [2, 3] is the simplest example of a model belonging to the class of models described in the present text. A useful review of some of the applications of ZRP in physical situations can be founded in [4].

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Author information

Authors and Affiliations

  1. Service de Physique Théorique, CEA Saclay, Gif-sur-Yvette cedex, F-91191, France

    C. Godrèche

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  1. C. Godrèche
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Editor information

Editors and Affiliations

  1. Laboratoire Physique des Matériaux, Université Henri Poincaré Nancy I, 239, F-54506, Vandœuvre lés, Nancy Cedex, France

    Malte Henkel

  2. Department of Physics Robertson Hall Virginia Polytechnic Institute, State University, 24061-0435, Blacksburg, VA, USA

    Michel Pleimling

  3. Laboratoire de Physique des Matériaux, Université de Luxembourg, 162a, avenue de la Faïencerie, L-1511, Luxembourg

    Roland Sanctuary

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Godrèche, C. (2007). From Urn Models to Zero-Range Processes: Statics and Dynamics. In: Henkel, M., Pleimling, M., Sanctuary, R. (eds) Ageing and the Glass Transition. Lecture Notes in Physics, vol 716. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69684-9_6

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