### 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 2012 → 12 7 2012 |

### 出版物シリーズ

名前 | AIP Conference Proceedings |
---|---|

巻 | 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 |
---|---|

国 | 日本 |

市 | Sendai |

期間 | 12/2/12 → 12/7/12 |

### Fingerprint

### 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

*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.

研究成果: 著書/レポートタイプへの貢献 › 会議での発言

*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

}

TY - GEN

T1 - Compressed exponential relaxation as superposition of dual structure in pattern dynamics of nematic liquid crystals

AU - Narumi, T.

AU - Nugroho, F.

AU - Yoshitani, J.

AU - Hidaka, Yoshiki

AU - Suzuki, M.

AU - Kai, S.

PY - 2013/3/12

Y1 - 2013/3/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84874751482&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874751482&partnerID=8YFLogxK

U2 - 10.1063/1.4794604

DO - 10.1063/1.4794604

M3 - Conference contribution

AN - SCOPUS:84874751482

SN - 9780735411418

T3 - AIP Conference Proceedings

SP - 403

EP - 410

BT - 4th International Symposium on Slow Dynamics in Complex Systems

ER -