2003/12/24 by L. Chen, Pablo G. Debenedetti, Chen, L. +7
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/0312142
19 pages, 4 figures. Accepted in Journ. of non-Newtonian Fluid Mechanics
arxiv created 2003/12/24 · openalex publication_date 2003/12/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of the recently developed "equation-free" approach to the computer-assisted analysis of complex systems, we illustrate the computation of coarsely self-similar solutions. Dynamic renormalization and fixed point algorithms for the macroscopic density dynamics are applied to the results of short bursts of appropriately initialized molecular dynamics in a simple diffusion simulation. The approach holds promise for locating coarse self-similar solutions and the corresponding exponents in a variety of multiscale computational contexts.