Equation-free dynamic renormalization: Self-similarity in multidimensional particle system dynamics
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.
- Publication:
-
Physical Review E
- Pub Date:
- October 2005
- DOI:
- 10.1103/PhysRevE.72.046702
- arXiv:
- arXiv:math/0505358
- Bibcode:
- 2005PhRvE..72d6702Z
- Keywords:
-
- 11.10.Gh;
- Renormalization;
- Mathematics - Dynamical Systems;
- 37F25
- E-Print:
- 7 pages, 5 figures