1. Equation-free Dynamic Renormalization of a KPZ-type Equation
- Author
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Kessler, David A., Kevrekidis, Ioannis G., and Chen, Ligang
- Subjects
Condensed Matter - Statistical Mechanics - Abstract
In the context of equation-free computation, we devise and implement a procedure for using short-time direct simulations of a 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.
- Published
- 2005
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