title: Equation-free dynamic renormalization of a Kardar-Parisi-Zhang-type equation.
abstract: In the context of equation-free computation, we devise and implement a procedure for using short-time direct simulations of a Kardar-Parisi-Zhang-(KPZ-) type equation to calculate the self-similar solution for its ensemble averaged correlation function. The method involves "lifting" from candidate pair-correlation functions to consistent realization ensembles, short bursts of KPZ-type evolution, and appropriate rescaling of the resulting averaged pair correlation functions. Both the self-similar shapes and their similarity exponents are obtained at a computational cost significantly reduced to that required to reach saturation in such systems.
authors.affiliation: Department of Physics, Bar-Ilan University, Ramat-Gan Israel.
authors.forename: David A
authors.initials: DA
authors.lastname: Kessler
authors.forename: Ioannis G
authors.initials: IG
authors.lastname: Kevrekidis
authors.forename: Ligang
authors.initials: L
authors.lastname: Chen