Drag force on a line defect moving through an otherwise undisturbed field: Disclination line in a nematic liquid crystal

G. Ryskin*, M. Kremenetsky

*Corresponding author for this work

Research output: Contribution to journalArticle

75 Scopus citations

Abstract

The drag force (per unit length) acting on a steadily moving disclination line is calculated. The problem is formulated in two equivalent ways: One involving a linear partial differential equation but with ambiguous boundary conditions, and another involving a nonlinear equation but with uniquely defined boundary conditions. The second formulation is solved numerically; the results of the numerical simulation are then used to fix the boundary conditions for the first formulation, which is solved analytically. A finite value is obtained for the drag force, without a need to introduce the integration cutoff at the sample size.

Original languageEnglish (US)
Pages (from-to)1574-1577
Number of pages4
JournalPhysical review letters
Volume67
Issue number12
DOIs
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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