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Large deviations for cluster size distributions in a continuous classical many-body system - MaRDI portal

Large deviations for cluster size distributions in a continuous classical many-body system (Q2341635)

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Large deviations for cluster size distributions in a continuous classical many-body system
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    Large deviations for cluster size distributions in a continuous classical many-body system (English)
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    27 April 2015
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    The authors consider systems of \(N\) interacting particles in a box contained in \(\mathbb R^d\) with interaction energy involving pair potentials of Lennard-Jones type, which satisfy some conditions. The first main result is a large deviations principle for the cluster size distribution under the Gibbs measure. The second main result is the \(\Gamma\)-convergence of the rate function towards an explicit limiting rate function in the low-temperature dilute (under some special assumptions).
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    classical particle systems
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    canonical ensemble
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    equilibrium statistical mechanics
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    dilute system
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    large deviation
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