Test of the Fluctuation Relation in Lagrangian Turbulence on a Free Surface |
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Authors: | M M Bandi J R Cressman Jr W I Goldburg |
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Institution: | (1) Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA;(2) Center for Nonlinear Studies and Condensed Matter and Thermal Physics Division, MS K764, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;(3) 212 Earth and Engineering Sciences, Pennsylvania State University, University Park, PA 16802, USA |
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Abstract: | The statistics of velocity divergence are studied for an assembly of particles that float on a closed turbulent fluid. Under
an appropriate definition of entropy, the two-dimensional Lagrangian velocity divergence of a particle trajectory represents
the local entropy rate
, a random variable in time. The statistics of this rate, measured in the Lagrangian frame, are collected over a wide range
of values. This permits a severe test of the fluctuation relation (FR) over a range that exceeds prior experiments, out to
a regime beyond which the FR no longer holds. Notably, the probability density functions (PDF) of the dimensionless divergence
σ
τ
are strongly non-Gaussian.
This work was supported by the National Science Foundation under grant number DMR-0201805. |
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Keywords: | Fluctuation relation Turbulence |
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