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

E Katzav; LF Cugliandolo

doi:10.1016/j.physa.2006.04.083

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

E Katzav, LF Cugliandolo

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	96 - 99
Number of pages	4
Journal	PHYSICA A
Volume	371
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2006.04.083
Publication status	Published - 1 Nov 2006

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10.1016/j.physa.2006.04.083

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title = "From coupled map lattices to the stochastic Kardar-Parisi-Zhang equation",

abstract = "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.",

author = "E Katzav and LF Cugliandolo",

year = "2006",

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T1 - From coupled map lattices to the stochastic Kardar-Parisi-Zhang equation

AU - Katzav, E

AU - Cugliandolo, LF

PY - 2006/11/1

Y1 - 2006/11/1

N2 - 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.

AB - 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.

U2 - 10.1016/j.physa.2006.04.083

DO - 10.1016/j.physa.2006.04.083

M3 - Article

VL - 371

SP - 96

EP - 99

JO - PHYSICA A

JF - PHYSICA A

IS - 1

ER -

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

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