Simple derivation of the (– λ H)5/2 tail for the 1D KPZ equation

DOI10.1088/1742-5468/aac90fzbMath1459.82138arXiv1802.08618OpenAlexW2788400985MaRDI QIDQ4964639

Pierre Le Doussal, Alexandre Krajenbrink

Publication date: 2 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08618

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (11)

Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ ⋮ Lower tail of the KPZ equation ⋮ Integrability in the weak noise theory ⋮ KPZ equation with a small noise, deep upper tail and limit shape ⋮ Large deviations for the Kardar– Parisi–Zhang equation from the Kadomtsev–Petviashvili equation ⋮ The lower tail of the half-space KPZ equation ⋮ Fractional moments of the stochastic heat equation ⋮ Short time large deviations of the KPZ equation ⋮ Airy kernel determinant solutions to the KdV equation and integro-differential Painlevé equations ⋮ Upper-tail large deviation principle for the ASEP ⋮ Kernels for non interacting fermions via a Green’s function approach with applications to step potentials

Cites Work

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