Dislocations and the nematic to smectic-A transition for arbitrary values of K1

A. R. Day; T. C. Lubensky; A. J. McKane

doi:10.1103/PhysRevA.27.1461

Dislocations and the nematic to smectic-A transition for arbitrary values of K1

A. R. Day, T. C. Lubensky, A. J. McKane

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Abstract

The de Gennes model is used to derive the energy of interacting dislocations in smectic-A liquid crystals. This energy reduces to the energy of interacting vortices in type-II superconductors when the splay elastic constant K1 is zero and to that derived from the Landau-Peierls elastic energy when spatial variations are slow on a scale of the bend and twist penetration depths. Furthermore, it has a well-defined K1 'limit. The dislocation energy is used to study the nematic to smectic-A transition as a function of K1 in two dimensions and in 4-μ dimensions. No evidence for the Nelson-Toner, anisotropic critical point is found in either case. © 1983 The American Physical Society.

Original language	English
Pages (from-to)	1461-1467
Number of pages	6
Journal	Physical Review A
Volume	27
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.27.1461
Publication status	Published - 1983

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title = "Dislocations and the nematic to smectic-A transition for arbitrary values of K1",

abstract = "The de Gennes model is used to derive the energy of interacting dislocations in smectic-A liquid crystals. This energy reduces to the energy of interacting vortices in type-II superconductors when the splay elastic constant K1 is zero and to that derived from the Landau-Peierls elastic energy when spatial variations are slow on a scale of the bend and twist penetration depths. Furthermore, it has a well-defined K1 'limit. The dislocation energy is used to study the nematic to smectic-A transition as a function of K1 in two dimensions and in 4-μ dimensions. No evidence for the Nelson-Toner, anisotropic critical point is found in either case. {\textcopyright} 1983 The American Physical Society.",

author = "Day, {A. R.} and Lubensky, {T. C.} and McKane, {A. J.}",

year = "1983",

doi = "10.1103/PhysRevA.27.1461",

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pages = "1461--1467",

journal = "Physical Review A",

issn = "1050-2947",

publisher = "American Physical Society",

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T1 - Dislocations and the nematic to smectic-A transition for arbitrary values of K1

AU - Day, A. R.

AU - Lubensky, T. C.

AU - McKane, A. J.

PY - 1983

Y1 - 1983

N2 - The de Gennes model is used to derive the energy of interacting dislocations in smectic-A liquid crystals. This energy reduces to the energy of interacting vortices in type-II superconductors when the splay elastic constant K1 is zero and to that derived from the Landau-Peierls elastic energy when spatial variations are slow on a scale of the bend and twist penetration depths. Furthermore, it has a well-defined K1 'limit. The dislocation energy is used to study the nematic to smectic-A transition as a function of K1 in two dimensions and in 4-μ dimensions. No evidence for the Nelson-Toner, anisotropic critical point is found in either case. © 1983 The American Physical Society.

AB - The de Gennes model is used to derive the energy of interacting dislocations in smectic-A liquid crystals. This energy reduces to the energy of interacting vortices in type-II superconductors when the splay elastic constant K1 is zero and to that derived from the Landau-Peierls elastic energy when spatial variations are slow on a scale of the bend and twist penetration depths. Furthermore, it has a well-defined K1 'limit. The dislocation energy is used to study the nematic to smectic-A transition as a function of K1 in two dimensions and in 4-μ dimensions. No evidence for the Nelson-Toner, anisotropic critical point is found in either case. © 1983 The American Physical Society.

U2 - 10.1103/PhysRevA.27.1461

DO - 10.1103/PhysRevA.27.1461

M3 - Article

SN - 1050-2947

VL - 27

SP - 1461

EP - 1467

JO - Physical Review A

JF - Physical Review A

IS - 3

ER -

Dislocations and the nematic to smectic-A transition for arbitrary values of K1

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