Statistical geometry in scalar turbulence
混沌动力学
2009-10-31 v1 统计力学
摘要
A general link between geometry and intermittency in passive scalar turbulence is established. Intermittency is qualitatively traced back to events where tracer particles stay for anomalousy long times in degenerate geometries characterized by strong clustering. The quantitative counterpart is the existence of special functions of particle configurations which are statistically invariant under the flow. These are the statistical integrals of motion controlling the scalar statistics at small scales and responsible for the breaking of scale invariance associated to intermittency.
引用
@article{arxiv.nlin/0006009,
title = {Statistical geometry in scalar turbulence},
author = {A. Celani and M. Vergassola},
journal= {arXiv preprint arXiv:nlin/0006009},
year = {2009}
}
备注
4 pages, 5 figures