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arXiv · 1510.01863

Material Line Fluctuations Slaved to Bulk Correlations in Two-Dimensional Turbulence

Theo Odijk
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Abstract

An analogy is pointed out between a polymer chain fluctuating in a two-dimensional nematic background and a freely floating material line buffeted by a two-dimensional turbulent fluid in the inertial (Kraichnan) regime. Under certain conditions, the back-reaction of the line on the turbulent flow may be neglected. The fractal exponent related to the size-contour relation of the material line is connected to a "nematic" correlation function in the bulk.

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Theo Odijk. 2016-08-12. Material Line Fluctuations Slaved to Bulk Correlations in Two-Dimensional Turbulence. https://arxiv.org/abs/1510.01863

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