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

TL;DR

This paper draws an analogy between polymer chain fluctuations in a nematic background and material line fluctuations in 2D turbulence, linking their statistical properties through correlation functions.

Contribution

It introduces a novel analogy connecting material line fluctuations in turbulence to polymer chains in nematic media, revealing how bulk correlations influence line behavior.

Findings

Fractal exponent linked to size-contour relation

Correlation function related to nematic order

Back-reaction of line on flow can be neglected under certain conditions

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.