Equation-free dynamic renormalization: Self-similarity in multidimensional particle system dynamics

Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.72.046702· OSTI ID:20709784

Yu, Zou; Kevrekidis, Ioannis; Ghanem, Roger ^[1]

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1. Department of Chemical Engineering and Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544 (United States)

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.

• OSTI ID: 20709784
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 72, Issue 4; Other Information: DOI: 10.1103/PhysRevE.72.046702; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BROWNIAN MOVEMENT
COUETTE FLOW
DENSITY
DISTRIBUTION FUNCTIONS
EQUATIONS
FRACTALS
MATHEMATICAL EVOLUTION
PARTICLES
RENORMALIZATION