2000/06/06 by A. Celani, M. Vergassola · 1 citation
Physics and Astronomy · #nlin.CD #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.86.424
4 pages, 5 figures
arxiv created 2000/06/06 · arxiv updated 2009/11/30
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.