Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals

T. Narumi, F. Nugroho, J. Yoshitani, Yoshiki Hidaka, M. Suzuki, S. Kai

研究成果: 著書/レポートタイプへの貢献会議での発言

抄録

Soft-mode turbulence (SMT) is the spatiotemporal chaos observed in homeotropically aligned nematic liquid crystals, where non-thermal fluctuations are induced by nonlinear coupling between the Nambu-Goldstone and convective modes. The net and modal relaxations of the disorder pattern dynamics in SMT have been studied to construct the statistical physics of nonlinear nonequilibrium systems. The net relaxation dynamics is well-described by a compressed exponential function and the modal one satisfies a dual structure, dynamic crossover accompanied by a breaking of time-reversal invariance. Because the net relaxation is described by a weighted mean of the modal ones with respect to the wave number, the compressed-exponential behavior emerges as a superposition of the dual structure. Here, we present experimental results of the power spectra to discuss the compressed-exponential behavior and the dual structure from a viewpoint of the harmonic analysis. We also derive a relationship of the power spectra from the evolution equation of the modal autocorrelation function. The formula will be helpful to study non-thermal fluctuations in experiments such as the scattering methods.

元の言語英語
ホスト出版物のタイトル4th International Symposium on Slow Dynamics in Complex Systems
ホスト出版物のサブタイトルKeep Going Tohoku
ページ403-410
ページ数8
DOI
出版物ステータス出版済み - 3 12 2013
イベント4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku - Sendai, 日本
継続期間: 12 2 201212 7 2012

出版物シリーズ

名前AIP Conference Proceedings
1518
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

その他

その他4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku
日本
Sendai
期間12/2/1212/7/12

Fingerprint

liquid crystals
power spectra
turbulence
harmonic analysis
exponential functions
autocorrelation
chaos
invariance
crossovers
disorders
physics
scattering

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

これを引用

Narumi, T., Nugroho, F., Yoshitani, J., Hidaka, Y., Suzuki, M., & Kai, S. (2013). Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals. : 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku (pp. 403-410). (AIP Conference Proceedings; 巻数 1518). https://doi.org/10.1063/1.4794604

Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals. / Narumi, T.; Nugroho, F.; Yoshitani, J.; Hidaka, Yoshiki; Suzuki, M.; Kai, S.

4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku. 2013. p. 403-410 (AIP Conference Proceedings; 巻 1518).

研究成果: 著書/レポートタイプへの貢献会議での発言

Narumi, T, Nugroho, F, Yoshitani, J, Hidaka, Y, Suzuki, M & Kai, S 2013, Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals. : 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku. AIP Conference Proceedings, 巻. 1518, pp. 403-410, 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku, Sendai, 日本, 12/2/12. https://doi.org/10.1063/1.4794604
Narumi T, Nugroho F, Yoshitani J, Hidaka Y, Suzuki M, Kai S. Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals. : 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku. 2013. p. 403-410. (AIP Conference Proceedings). https://doi.org/10.1063/1.4794604
Narumi, T. ; Nugroho, F. ; Yoshitani, J. ; Hidaka, Yoshiki ; Suzuki, M. ; Kai, S. / Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals. 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku. 2013. pp. 403-410 (AIP Conference Proceedings).
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