Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics
Dynamical Systems
2009-11-11 v1
Abstract
We present an equation-free dynamic renormalization approach to the computational study of coarse-grained, self-similar dynamic behavior in multidimensional particle systems. The approach is aimed at problems for which evolution equations for coarse-scale observables (e.g. particle density) are not explicitly available. Our illustrative example involves Brownian particles in a 2D Couette flow; marginal and conditional Inverse Cumulative Distribution Functions (ICDFs) constitute the macroscopic observables of the evolving particle distributions.
Cite
@article{arxiv.math/0505358,
title = {Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics},
author = {Yu Zou and Ioannis Kevrekidis and Roger Ghanem},
journal= {arXiv preprint arXiv:math/0505358},
year = {2009}
}
Comments
7 pages, 5 figures