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Waves at the nematic-isotropic interface: thermotropic nematogen-non-nematogen mixtures

Waves at the nematic-isotropic interface: thermotropic nematogen-non-nematogen mixtures
Waves at the nematic-isotropic interface: thermotropic nematogen-non-nematogen mixtures
We develop a theory for surface modes at the nematic-isotropic interface in thermotropic nematogen–non-nematogen mixtures. We employ the dynamical generalization of the Landau–de Gennes model for the orientational (nonconserved) order parameter, coupled with the Cahn-Hilliard equation for concentration (conserved parameter), and include hydrodynamic degrees of freedom.
The theory uses a generalized form of the Landau–de Gennes free-energy density to include the coupling between the concentration of the non-nematogen fluid and the orientational order parameter. Two representative phase diagrams are shown. The method of matched asymptotic expansions is used to obtain a generalized dispersion relation. Further analysis is made in particular cases. Orientational order parameter relaxation dominates in the short-wavelength limit, while in the long-wavelength limit viscous damping processes become important. There is an intermediate region (depending on the temperature) in which the interaction between conserved parameter dynamics and hydrodynamics is important.
1539-3755
061706-[13pp]
Popa-Nita, V.
068ec8ef-991a-40da-bbe5-3b2575be71d1
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Kralj, S.
638e12ae-6365-443a-9a98-6039859df897
Popa-Nita, V.
068ec8ef-991a-40da-bbe5-3b2575be71d1
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Kralj, S.
638e12ae-6365-443a-9a98-6039859df897

Popa-Nita, V., Sluckin, T.J. and Kralj, S. (2005) Waves at the nematic-isotropic interface: thermotropic nematogen-non-nematogen mixtures. Physical Review E, 71 (6), 061706-[13pp]. (doi:10.1103/PhysRevE.71.061706).

Record type: Article

Abstract

We develop a theory for surface modes at the nematic-isotropic interface in thermotropic nematogen–non-nematogen mixtures. We employ the dynamical generalization of the Landau–de Gennes model for the orientational (nonconserved) order parameter, coupled with the Cahn-Hilliard equation for concentration (conserved parameter), and include hydrodynamic degrees of freedom.
The theory uses a generalized form of the Landau–de Gennes free-energy density to include the coupling between the concentration of the non-nematogen fluid and the orientational order parameter. Two representative phase diagrams are shown. The method of matched asymptotic expansions is used to obtain a generalized dispersion relation. Further analysis is made in particular cases. Orientational order parameter relaxation dominates in the short-wavelength limit, while in the long-wavelength limit viscous damping processes become important. There is an intermediate region (depending on the temperature) in which the interaction between conserved parameter dynamics and hydrodynamics is important.

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Published date: 20 June 2005

Identifiers

Local EPrints ID: 29604
URI: http://eprints.soton.ac.uk/id/eprint/29604
ISSN: 1539-3755
PURE UUID: 111299bb-7de8-40ce-811a-d81177cc3494
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

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Date deposited: 12 May 2006
Last modified: 09 Jan 2022 02:32

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Contributors

Author: V. Popa-Nita
Author: T.J. Sluckin ORCID iD
Author: S. Kralj

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