2015/10/07 by Theo Odijk, Odijk, Theo
Physics and Astronomy · #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.48550/arxiv.1510.01863
New version with substantial revisions made
arxiv created 2016/08/12 · arxiv updated 2016/08/15
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.