Fouxon, Itzhak and Horvai, Peter (2007) Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (AUG). -. ISSN 1742-5468

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Abstract

We study the motion of small particles in a random turbulent. flow assuming a linear law of friction. We derive a symmetry relation obeyed by the large deviations of the. finite- time Lyapunov exponents in the phase space. The relation applies when either the statistics of the strain matrix is invariant under the transposition or when it is time reversible. We show that, as a result, the Lyapunov exponents come in pairs whose sum is equal to minus the inverse relaxation time of the particles. We use the pairing to consider the Kaplan - Yorke dimension of the particles' attractor in the phase space. In particular, the results apply to case of the. flow which is white noise in time.

Item Type:	Journal Item
Subjects:	T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics
Journal or Publication Title:	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Publisher:	IOP PUBLISHING LTD
ISSN:	1742-5468
Date:	2007
Number:	AUG
Number of Pages:	10
Page Range:	-
Identification Number:	10.1088/1742-5468/2007/08/L08002
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/31446

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