Nematics under external fields: Static stability analysis

J. P. Casquilho

doi:10.1117/12.299994

Nematics under external fields: Static stability analysis

J. P. Casquilho

DF – Departamento de Física

Research output: Contribution to journal › Conference article › peer-review

Abstract

The stability of the (bulk) nematic director field under applied magnetic fields is studied using continuum theory. The stability analysis of two order parameter potentials allows the study of the influence of the external field on the development of static periodic distortions in the director field. The case of oblique applied fields is studied. In the frame of a phase transition analogy, where the angle of the field with respect to the unperturbed director plays the role of the external parameter, phase diagrams are shown for the critical angle for the director transition from the homogeneous to the distorted state, as a function of the Frank elastic anisotropy.

Original language	English
Pages (from-to)	317-321
Number of pages	5
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	3318
DOIs	https://doi.org/10.1117/12.299994
Publication status	Published - 1 Dec 1997
Event	Liquid Crystals: Physics, Technology and Applications - Zakopane, Poland Duration: 3 Mar 1997 → 8 Mar 1997

Keywords

Elastic anisotropy
Instabilities
Nematics

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10.1117/12.299994Licence: CC BY

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abstract = "The stability of the (bulk) nematic director field under applied magnetic fields is studied using continuum theory. The stability analysis of two order parameter potentials allows the study of the influence of the external field on the development of static periodic distortions in the director field. The case of oblique applied fields is studied. In the frame of a phase transition analogy, where the angle of the field with respect to the unperturbed director plays the role of the external parameter, phase diagrams are shown for the critical angle for the director transition from the homogeneous to the distorted state, as a function of the Frank elastic anisotropy.",

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AU - Casquilho, J. P.

PY - 1997/12/1

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N2 - The stability of the (bulk) nematic director field under applied magnetic fields is studied using continuum theory. The stability analysis of two order parameter potentials allows the study of the influence of the external field on the development of static periodic distortions in the director field. The case of oblique applied fields is studied. In the frame of a phase transition analogy, where the angle of the field with respect to the unperturbed director plays the role of the external parameter, phase diagrams are shown for the critical angle for the director transition from the homogeneous to the distorted state, as a function of the Frank elastic anisotropy.

AB - The stability of the (bulk) nematic director field under applied magnetic fields is studied using continuum theory. The stability analysis of two order parameter potentials allows the study of the influence of the external field on the development of static periodic distortions in the director field. The case of oblique applied fields is studied. In the frame of a phase transition analogy, where the angle of the field with respect to the unperturbed director plays the role of the external parameter, phase diagrams are shown for the critical angle for the director transition from the homogeneous to the distorted state, as a function of the Frank elastic anisotropy.

KW - Elastic anisotropy

KW - Instabilities

KW - Nematics

UR - http://www.scopus.com/inward/record.url?scp=0031390266&partnerID=8YFLogxK

U2 - 10.1117/12.299994

DO - 10.1117/12.299994

M3 - Conference article

AN - SCOPUS:0031390266

SN - 0277-786X

VL - 3318

SP - 317

EP - 321

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Liquid Crystals: Physics, Technology and Applications

Y2 - 3 March 1997 through 8 March 1997

ER -

Nematics under external fields: Static stability analysis

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Keywords

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