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Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals

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Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals. / Kurz, G; Sarkar, S.

In: ANNALS OF PHYSICS, Vol. 282, No. 1, 25.05.2000, p. 1 - 30.

Research output: Contribution to journalArticle

Harvard

Kurz, G & Sarkar, S 2000, 'Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals', ANNALS OF PHYSICS, vol. 282, no. 1, pp. 1 - 30. https://doi.org/10.1006/aphy.1999.5975

APA

Kurz, G., & Sarkar, S. (2000). Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals. ANNALS OF PHYSICS, 282(1), 1 - 30. https://doi.org/10.1006/aphy.1999.5975

Vancouver

Kurz G, Sarkar S. Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals. ANNALS OF PHYSICS. 2000 May 25;282(1):1 - 30. https://doi.org/10.1006/aphy.1999.5975

Author

Kurz, G ; Sarkar, S. / Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals. In: ANNALS OF PHYSICS. 2000 ; Vol. 282, No. 1. pp. 1 - 30.

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title = "Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals",
abstract = "The Abelian-Higgs model is the basis For a gauge covariant form of the distortion free energy for nematic liquid crystals. This is used to derive a new form of the Ericksen-Leslie equations incorporating the dynamics of disclinations in nematic films. The zero liquid flow case is treated in detail for simplicity. The equations are reduced to dynamic equations for dis clination points in moduli space for a small deviation from the Bogomol'nyi limit. We are able to derive analytically the dynamics of disclinations with winding numbers of the same sign. A set of such disclinations close to one another, i.e., with overlapping col-es, can result from the disintegration of a larger disclination, and they repel one another. For a pair of such disclinations far apart from one another we find that they move on a straight line where their separation increases logarithmically over time. (C) 2000 Academic Press.",
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journal = "ANNALS OF PHYSICS",
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RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Hydrodynamics of defects in the Abelian-Higgs model: An application to nematic liquid crystals

AU - Kurz, G

AU - Sarkar, S

PY - 2000/5/25

Y1 - 2000/5/25

N2 - The Abelian-Higgs model is the basis For a gauge covariant form of the distortion free energy for nematic liquid crystals. This is used to derive a new form of the Ericksen-Leslie equations incorporating the dynamics of disclinations in nematic films. The zero liquid flow case is treated in detail for simplicity. The equations are reduced to dynamic equations for dis clination points in moduli space for a small deviation from the Bogomol'nyi limit. We are able to derive analytically the dynamics of disclinations with winding numbers of the same sign. A set of such disclinations close to one another, i.e., with overlapping col-es, can result from the disintegration of a larger disclination, and they repel one another. For a pair of such disclinations far apart from one another we find that they move on a straight line where their separation increases logarithmically over time. (C) 2000 Academic Press.

AB - The Abelian-Higgs model is the basis For a gauge covariant form of the distortion free energy for nematic liquid crystals. This is used to derive a new form of the Ericksen-Leslie equations incorporating the dynamics of disclinations in nematic films. The zero liquid flow case is treated in detail for simplicity. The equations are reduced to dynamic equations for dis clination points in moduli space for a small deviation from the Bogomol'nyi limit. We are able to derive analytically the dynamics of disclinations with winding numbers of the same sign. A set of such disclinations close to one another, i.e., with overlapping col-es, can result from the disintegration of a larger disclination, and they repel one another. For a pair of such disclinations far apart from one another we find that they move on a straight line where their separation increases logarithmically over time. (C) 2000 Academic Press.

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U2 - 10.1006/aphy.1999.5975

DO - 10.1006/aphy.1999.5975

M3 - Article

VL - 282

SP - 1

EP - 30

JO - ANNALS OF PHYSICS

JF - ANNALS OF PHYSICS

SN - 0003-4916

IS - 1

ER -

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