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The Kardar-Parisi-Zhang equation - a statistical physics perspective

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arxiv 1601.00499 v1 pith:M6P2VCMJ submitted 2016-01-04 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords equationkardar-parisi-zhangstatisticalanharmonicarticlechainscomponentscorrelations
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The article covers the one-dimensional Kardar-Parisi-Zhang equation, weak drive limit, universality, directed polymers in a random medium, replica solutions, statistical mechanics of line ensembles, and its generalization to several components which is used to study equilibrium time correlations of anharmonic chains and of the discrete nonlinear Schr\"{o}dinger equation. The notes are an extended version of my lectures at Les Houches July 2015.

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