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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publication4th International Symposium on Slow Dynamics in Complex Systems
Subtitle of host publicationKeep Going Tohoku
Pages403-410
Number of pages8
DOIs
Publication statusPublished - Mar 12 2013
Event4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku - Sendai, Japan
Duration: Dec 2 2012Dec 7 2012

Publication series

NameAIP Conference Proceedings
Volume1518
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku
CountryJapan
CitySendai
Period12/2/1212/7/12

Fingerprint

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

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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. In 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku (pp. 403-410). (AIP Conference Proceedings; Vol. 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, Y.; Suzuki, M.; Kai, S.

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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. in 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku. AIP Conference Proceedings, vol. 1518, pp. 403-410, 4th International Symposium on Slow Dynamics in Complex Systems: Keep Going Tohoku, Sendai, Japan, 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. In 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, 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. pp. 403-410 (AIP Conference Proceedings).
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