# Coarsening Dynamics of a Nonconserved Field Advected by a Uniform Shear Flow

Source: [Coarsening Dynamics of a Nonconserved Field Advected by a Uniform Shear Flow](<https://www.sota2.com/research/paper/68fa24f32c2a3760193aafed>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:41:56.116Z

Authors: Alan J. Bray, Andrea Cavagna

Published: 2000-01-20T20:41:26.000Z

## Abstract

We consider the ordering kinetics of a nonconserved scalar field advected by a uniform shear flow. Using the Ohta-Jasnow-Kawasaki approximation, modified to allow for shear-induced anisotropy, we calculate the asymptotic time dependence of the characteristic length scales, L\_parallel and L\_perp, that describe the growth of order parallel and perpendicular to the mean domain orientation. In space dimension d=3 we find, up to constants, L\_parallel = gamma t^{3/2}, L\_perp = t^{1/2}, where gamma is the shear rate, while for d = 2 we find L\_parallel = gamma^{1/2} t (ln t)^{1/4}, L\_perp = gamma^{-1/2}(ln t)^{-1/4} . Our predictions for d=2 can be tested by experiments on twisted nematic liquid crystals.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0001299>)

[PDF](<https://arxiv.org/pdf/cond-mat/0001299.pdf>)