title: 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.
authors.affiliation: Department of Chemical Engineering and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Yu
authors.initials: Y
authors.lastname: Zou
authors.forename: Ioannis
authors.initials: I
authors.lastname: Kevrekidis
authors.forename: Roger
authors.initials: R
authors.lastname: Ghanem