Vortex dynamics in a smectic liquid crystal and its stochastic aspect

Shinobu Sekine; Toshihiro Kawakatsu; Hiroshi Kuratsuji

doi:10.1080/15421406.2014.918305

Vortex dynamics in a smectic liquid crystal and its stochastic aspect

Shinobu Sekine, Toshihiro Kawakatsu, Hiroshi Kuratsuji

SCI - Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The dynamics and stochastic aspect of the vortices that occur in a smectic-A liquid crystal close to its nematic-smectic A transition point is investigated. Using the analogy between our target system and the superfluid system, we discuss following two topics: The first topic is the formulation of the equation of motion of the vortex center, and the other one is the analysis of the random behavior of the vortices.

Original language	English
Pages (from-to)	60-68
Number of pages	9
Journal	Molecular crystals and liquid crystals
Volume	596
Issue number	1
DOIs	https://doi.org/10.1080/15421406.2014.918305
Publication status	Published - 2014 Jun 13

Keywords

Fokker-Planck equation
Langevin equation
liquid crystal
nonlinear Schröedinger equation
path integral
superfluid
vortex dynamics

ASJC Scopus subject areas

Chemistry(all)
Materials Science(all)
Condensed Matter Physics

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10.1080/15421406.2014.918305

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title = "Vortex dynamics in a smectic liquid crystal and its stochastic aspect",

abstract = "The dynamics and stochastic aspect of the vortices that occur in a smectic-A liquid crystal close to its nematic-smectic A transition point is investigated. Using the analogy between our target system and the superfluid system, we discuss following two topics: The first topic is the formulation of the equation of motion of the vortex center, and the other one is the analysis of the random behavior of the vortices.",

keywords = "Fokker-Planck equation, Langevin equation, liquid crystal, nonlinear Schr{\"o}edinger equation, path integral, superfluid, vortex dynamics",

author = "Shinobu Sekine and Toshihiro Kawakatsu and Hiroshi Kuratsuji",

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AU - Sekine, Shinobu

AU - Kawakatsu, Toshihiro

AU - Kuratsuji, Hiroshi

N1 - Funding Information: This work was partially supported by the auspice of Ministry of Eduation, Culture, Sports, Science and Technology in Japan, and Department of Physics, Tohoku University. Publisher Copyright: © 2014 Taylor & Francis Group, LLC.

PY - 2014/6/13

Y1 - 2014/6/13

N2 - The dynamics and stochastic aspect of the vortices that occur in a smectic-A liquid crystal close to its nematic-smectic A transition point is investigated. Using the analogy between our target system and the superfluid system, we discuss following two topics: The first topic is the formulation of the equation of motion of the vortex center, and the other one is the analysis of the random behavior of the vortices.

AB - The dynamics and stochastic aspect of the vortices that occur in a smectic-A liquid crystal close to its nematic-smectic A transition point is investigated. Using the analogy between our target system and the superfluid system, we discuss following two topics: The first topic is the formulation of the equation of motion of the vortex center, and the other one is the analysis of the random behavior of the vortices.

KW - Fokker-Planck equation

KW - Langevin equation

KW - liquid crystal

KW - nonlinear Schröedinger equation

KW - path integral

KW - superfluid

KW - vortex dynamics

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Vortex dynamics in a smectic liquid crystal and its stochastic aspect

Abstract

Keywords

ASJC Scopus subject areas

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