Responses of spatiotemporal chaos to oscillating forces

Misato Iino, Yoshiki Hidaka, Fahrudin Nugroho, Rinto Anugraha, Hirotaka Okabe, Kazuhiro Hara

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The responses of soft-mode turbulence, a kind of spatiotemporal chaos seen in electroconvection of a nematic liquid crystal, to alternating-current magnetic fields is investigated to uncover the dynamical properties of spatiotemporal chaos. The dynamical responses can be measured by an order parameter, Mp(t), which indicates ordering in the convective roll pattern induced by the magnetic field. Determined by properties of the liquid crystal in a magnetic field, Mp(t) oscillates in accordance with the square of the magnetic field. The relaxation time of the system was obtained by fitting the frequency dependence of the complex susceptibility for the pattern obtained from the oscillation of Mp(t) to the Debye-type relaxation spectra. However, for the high-frequency regime, the susceptibility deviates from the spectra because slow and large fluctuations of Mp(t) contribute to the oscillation. The properties of this type of fluctuation were investigated by introducing a dynamic ordering parameter defined as the period average of Mp(t).

Original languageEnglish
Article number012916
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume92
Issue number1
DOIs
Publication statusPublished - Jul 22 2015

Fingerprint

Spatiotemporal Chaos
chaos
Magnetic Field
magnetic fields
Susceptibility
liquid crystals
Oscillation
Fluctuations
magnetic permeability
oscillations
Nematic Liquid Crystal
Relaxation Time
Liquid Crystal
Order Parameter
Turbulence
alternating current
relaxation time
turbulence

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Responses of spatiotemporal chaos to oscillating forces. / Iino, Misato; Hidaka, Yoshiki; Nugroho, Fahrudin; Anugraha, Rinto; Okabe, Hirotaka; Hara, Kazuhiro.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, No. 1, 012916, 22.07.2015.

Research output: Contribution to journalArticle

@article{e2df1ea0b8a04f6d888421f278459c20,
title = "Responses of spatiotemporal chaos to oscillating forces",
abstract = "The responses of soft-mode turbulence, a kind of spatiotemporal chaos seen in electroconvection of a nematic liquid crystal, to alternating-current magnetic fields is investigated to uncover the dynamical properties of spatiotemporal chaos. The dynamical responses can be measured by an order parameter, Mp(t), which indicates ordering in the convective roll pattern induced by the magnetic field. Determined by properties of the liquid crystal in a magnetic field, Mp(t) oscillates in accordance with the square of the magnetic field. The relaxation time of the system was obtained by fitting the frequency dependence of the complex susceptibility for the pattern obtained from the oscillation of Mp(t) to the Debye-type relaxation spectra. However, for the high-frequency regime, the susceptibility deviates from the spectra because slow and large fluctuations of Mp(t) contribute to the oscillation. The properties of this type of fluctuation were investigated by introducing a dynamic ordering parameter defined as the period average of Mp(t).",
author = "Misato Iino and Yoshiki Hidaka and Fahrudin Nugroho and Rinto Anugraha and Hirotaka Okabe and Kazuhiro Hara",
year = "2015",
month = "7",
day = "22",
doi = "10.1103/PhysRevE.92.012916",
language = "English",
volume = "92",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Responses of spatiotemporal chaos to oscillating forces

AU - Iino, Misato

AU - Hidaka, Yoshiki

AU - Nugroho, Fahrudin

AU - Anugraha, Rinto

AU - Okabe, Hirotaka

AU - Hara, Kazuhiro

PY - 2015/7/22

Y1 - 2015/7/22

N2 - The responses of soft-mode turbulence, a kind of spatiotemporal chaos seen in electroconvection of a nematic liquid crystal, to alternating-current magnetic fields is investigated to uncover the dynamical properties of spatiotemporal chaos. The dynamical responses can be measured by an order parameter, Mp(t), which indicates ordering in the convective roll pattern induced by the magnetic field. Determined by properties of the liquid crystal in a magnetic field, Mp(t) oscillates in accordance with the square of the magnetic field. The relaxation time of the system was obtained by fitting the frequency dependence of the complex susceptibility for the pattern obtained from the oscillation of Mp(t) to the Debye-type relaxation spectra. However, for the high-frequency regime, the susceptibility deviates from the spectra because slow and large fluctuations of Mp(t) contribute to the oscillation. The properties of this type of fluctuation were investigated by introducing a dynamic ordering parameter defined as the period average of Mp(t).

AB - The responses of soft-mode turbulence, a kind of spatiotemporal chaos seen in electroconvection of a nematic liquid crystal, to alternating-current magnetic fields is investigated to uncover the dynamical properties of spatiotemporal chaos. The dynamical responses can be measured by an order parameter, Mp(t), which indicates ordering in the convective roll pattern induced by the magnetic field. Determined by properties of the liquid crystal in a magnetic field, Mp(t) oscillates in accordance with the square of the magnetic field. The relaxation time of the system was obtained by fitting the frequency dependence of the complex susceptibility for the pattern obtained from the oscillation of Mp(t) to the Debye-type relaxation spectra. However, for the high-frequency regime, the susceptibility deviates from the spectra because slow and large fluctuations of Mp(t) contribute to the oscillation. The properties of this type of fluctuation were investigated by introducing a dynamic ordering parameter defined as the period average of Mp(t).

UR - http://www.scopus.com/inward/record.url?scp=84938786200&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938786200&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.92.012916

DO - 10.1103/PhysRevE.92.012916

M3 - Article

AN - SCOPUS:84938786200

VL - 92

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012916

ER -