From coupled map lattices to the stochastic Kardar-Parisi-Zhang equation

Eytan Katzav*, Leticia F. Cugliandolo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We discuss the space and time dependence of the continuum limit of an ensemble of coupled logistic maps on a one-dimensional lattice. We show that the resulting partial differential equation has elements of the stochastic Kardar-Parisi-Zhang growth equation and of the Fisher-Kolmogorov-Petrovskii-Piscounov equation describing front propagation. A similar study of the Lyapunov vector confirms that its space-time behaviour is of KPZ type.

Original languageAmerican English
Pages (from-to)96-99
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - 1 Nov 2006
Externally publishedYes

Bibliographical note

Funding Information:
We thank very useful discussions with H. Chaté, B. Derrida, J. González, J. Kurchan, S. Majumdar, N. Mousseau, I. Procaccia, L. Trujillo and F. Zamponi, and financial support from PICS 3172. L.F.C. is a member of IUF.


  • Coupled logistic maps
  • Lyapunov vector
  • Stochastic growth
  • Travelling waves


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