Material Line Fluctuations Slaved to Bulk Correlations in Two-Dimensional Turbulence
Soft Condensed Matter
2016-08-15 v2
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.
Cite
@article{arxiv.1510.01863,
title = {Material Line Fluctuations Slaved to Bulk Correlations in Two-Dimensional Turbulence},
author = {Theo Odijk},
journal= {arXiv preprint arXiv:1510.01863},
year = {2016}
}
Comments
New version with substantial revisions made