Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
High Energy Physics - Lattice
2016-09-01 v1
Abstract
We study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of coupling parameters. We give a quantitative estimate of the consequences of the breakdown of reversibility due to round-off errors.
Cite
@article{arxiv.hep-lat/9708017,
title = {Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms},
author = {Chuan Liu and Andreas Jaster and Karl Jansen},
journal= {arXiv preprint arXiv:hep-lat/9708017},
year = {2016}
}
Comments
Latex2e file, 4 figures, 19 pages