TY - JOUR

T1 - Drag force on a line defect moving through an otherwise undisturbed field

T2 - Disclination line in a nematic liquid crystal

AU - Ryskin, G.

AU - Kremenetsky, M.

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevLett.67.1574

DO - 10.1103/PhysRevLett.67.1574

M3 - Article

C2 - 10044190

AN - SCOPUS:0001624528

VL - 67

SP - 1574

EP - 1577

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 12

ER -