Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics

Details Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics

2005-05-17

arxiv.org/abs/math/0505358v1

Mathematics

Dynamical Systems

7 pages, 5 figures

Scientific paper

10.1103/PhysRevE.72.046702

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.

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