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Material line fluctuations slaved to bulk correlations in two-dimensional turbulence

Theo Odijk

Physica A: Statistical Mechanics and its Applications, 2017, vol. 467, issue C, 180-183

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.

Keywords: Turbulence; Liquid crystals; Scaling (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:467:y:2017:i:c:p:180-183

DOI: 10.1016/j.physa.2016.10.047

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