Du discret au continu pour des modèles de réseaux aléatoires d'atomes |
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| Authors: | Xavier Blanc Claude Le Bris Pierre-Louis Lions |
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| Affiliation: | 1. Laboratoire J.-L. Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France;2. CERMICS, École nationale des ponts et chaussées, 77455 Champs sur Marne cedex, France;3. Collège de France, 11, place Marcelin-Berthelot, 75231 Paris cedex 05, France;4. CEREMADE, université Paris Dauphine, place du Maréchal de Lattre de Tassigny, 75775 Paris cedex 16, France |
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| Abstract: | We study in this Note the continuum (macroscopic) limit for some atomistic models for crystals. The purpose is to derive densities of mechanical energies from microscopic models. In contrast to the setting of a previous study, where the microscopic structure was assumed to be periodic, it is modelled here by a stochastic lattice, which enjoys some stationarity and ergodicity properties, following notions previously introduced elsewhere. To cite this article: X. Blanc et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). |
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