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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

Herbert Spohn This is my paper · ORCID
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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Riemann surfaces for KPZ with periodic boundaries

    cond-mat.stat-mech 2019-08 conditional novelty 6.0 of 10

    Known exact finite-volume KPZ fluctuation probabilities are expressed as traces on Riemann surfaces for half-integer polylogarithms, and prior formulas by Prolhac and by Baik and Liu are proved equivalent.

  2. Dynamic scaling of growing interfaces

    cond-mat.dis-nn 2025-07 unverdicted novelty 1.0 of 10

    An expert review of the KPZ equation's history, mathematical developments, and applications, with no new research results.

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