Critical geometry of two-dimensional passive scalar turbulence

Details Critical geometry of two-dimensional passive scalar turbulence Critical geometry of two-dimensional passive scalar turbulence

2000-11-10

arxiv.org/abs/cond-mat/0011199v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure; comments to kondev@brandeis.edu

Scientific paper

10.1103/PhysRevLett.86.5890

Passive scalars advected by a magnetically driven two-dimensional turbulent flow are analyzed using methods of statistical topography. The passive tracer concentration is interpreted as the height of a random surface and the scaling properties of its contour loops are analyzed. Various exponents that describe the loop ensemble are measured and compared to a scaling theory. This leads to a geometrical criterion of intermittency of scalar fluctuations.

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