dorsal/arxiv
View SchemaFrom molecular dynamics to coarse self-similar solutions: A simple example using equation-free computation
| Authors | L. Chen, P. G. Debenedetti, C. W. Gear, I. G. Kevrekidis |
|---|---|
| Categories | |
| ArXiv ID | physics/0312142 |
| URL | https://arxiv.org/abs/physics/0312142 |
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.
{
"annotation_id": "032fac2a-e303-4152-8c25-a62cc0eb7b81",
"date_created": "2026-03-02T18:00:46.910000Z",
"date_modified": "2026-03-02T18:00:46.910000Z",
"file_hash": "4ac4fa1e7183704aedb726e9358b95600fcfc4564c330cd35324aa2290c3a9ea",
"private": false,
"record": {
"abstract": "In the context of the recently developed \"equation-free\" approach to the\ncomputer-assisted analysis of complex systems, we illustrate the computation of\ncoarsely self-similar solutions. Dynamic renormalization and fixed point\nalgorithms for the macroscopic density dynamics are applied to the results of\nshort bursts of appropriately initialized molecular dynamics in a simple\ndiffusion simulation. The approach holds promise for locating coarse\nself-similar solutions and the corresponding exponents in a variety of\nmultiscale computational contexts.",
"arxiv_id": "physics/0312142",
"authors": [
"L. Chen",
"P. G. Debenedetti",
"C. W. Gear",
"I. G. Kevrekidis"
],
"categories": [
"physics.comp-ph"
],
"title": "From molecular dynamics to coarse self-similar solutions: A simple example using equation-free computation",
"url": "https://arxiv.org/abs/physics/0312142"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0dc2c6dc-1545-4ead-b18d-9852ff3e3f03",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}