Height distribution of the Kardar-Parisi-Zhang equation with sharp-wedge initial condition: Numerical evaluations

Sylvain Prolhac, Herbert Spohn

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

28 Zitate (Scopus)

Abstract

The time-dependent probability distribution function of the height for the Kardar-Parisi-Zhang equation with sharp wedge initial conditions has been obtained recently as a convolution between the Gumbel distribution and a difference of two Fredholm determinants. We evaluate numerically this distribution over the whole time span. The crossover from the short time behavior, which is Gaussian, to the long time behavior, which is governed by the Gaussian unitary ensemble (GUE) Tracy-Widom distribution, is clearly visible.

OriginalspracheEnglisch
Aufsatznummer011119
FachzeitschriftPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Jahrgang84
Ausgabenummer1
DOIs
PublikationsstatusVeröffentlicht - 15 Juli 2011

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