Test of the Fluctuation Relation in lagrangian turbulence on a free surface

Details Test of the Fluctuation Relation in lagrangian turbulence on a free surface Test of the Fluctuation Relation in lagrangian turbulence on a free surface

2006-07-17

arxiv.org/abs/nlin/0607037v2

Nonlinear Sciences

Chaotic Dynamics

10 Pages, 3 figures, 2 tables

Scientific paper

10.1007/s10955-007-9355-4

The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a particle trajectory represents the local entropy rate, a random variable. The statistics of this rate are shown to be in agreement with the fluctuation relation (FR) over a limited range. The probability distribution functions (PDFs) obtained in this analysis exhibit features different from those observed in previous experimental tests.

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