### 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 language | English (US) |
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Pages (from-to) | 1574-1577 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 67 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1991 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Ryskin, G., & Kremenetsky, M. (1991). Drag force on a line defect moving through an otherwise undisturbed field: Disclination line in a nematic liquid crystal.

*Physical review letters*,*67*(12), 1574-1577. https://doi.org/10.1103/PhysRevLett.67.1574