The 1 + 1-dimensional Kardar-Parisi-Zhang equation and its universality class

Tomohiro Sasamoto, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

Abstract

We explain the exact solution of the 1 + 1-dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to the KPZ universality class, not only as regards scaling exponents but also as regards the full probability distribution of the height in the long time limit.

Original languageEnglish
Article numberP11013
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2010
Issue number11
DOIs
StatePublished - Nov 2010

Keywords

  • Exact results
  • Kinetic growth processes (theory)
  • Stochastic particle dynamics (theory)

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