@article{39171, keywords = {nonlinear schrodinger-equation, bifurcation-analysis, model, stability, equation-free, simulations, collapse, focusing singularity, dynamic renormalization, distribution function, microscopic model}, author = {L. Chen and P.G. Debenedetti and C. W. Gear and I. G. Kevrekidis}, title = {From molecular dynamics to coarse self-similar solutions: a simple example using equation-free computation}, abstract = {

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. (C) 2004 Elsevier B.V. All rights reserved.

}, year = {2004}, journal = {Journal of Non-Newtonian Fluid Mechanics}, volume = {120}, pages = {215-223}, month = {07/2004}, isbn = {0377-0257}, language = {English}, }