Glassy dynamics in relaxation of soft-mode turbulence

Nugroho, Fahrudin; Narumi, Takayuki; Hidaka, Yoshiki; Yoshitani, Junichi; Suzuki, Masaru; Kai, Shoichi

doi:10.1103/physreve.85.030701

Cited by 8 publications

(8 citation statements)

References 49 publications

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“…5). This scaling is similar to that of the SMT pattern correlation time [7,13], and the value c = 3.0 is of the same order as c = 2.1, obtained from pattern observation [13]. This fact suggests that during such a time scale, τ d , the local structure of the SMT pattern exhibits regular motion (patch rotation, etc.…”

Section: Resultssupporting

confidence: 77%

Duality of diffusion dynamics in particle motion in soft-mode turbulence

et al. 2013

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Nonthermal Brownian motion is investigated experimentally by injecting a particle into soft-mode turbulence (SMT), in the electroconvection of a nematic liquid crystal. It is clarified that the particle motion can be classified into two phases: fast motion, where particles move with the local convective flow, and slow motion, where they are carried by global slow pattern dynamics. We propose a simplified model to clarify the mechanism of the short-time and asymptotic behavior of diffusion. In our model, the correlation time is estimated as a function of a control parameter ɛ. The scaling of the SMT pattern correlation time, τ(d)∼ɛ(-1), is estimated from the particle dynamics, which is consistent with a previous report observed from the Eulerian viewpoint. The origin of the non-Gaussian distribution of the displacement in the short-time regime is also discussed and an analytical curve is introduced that quantitatively agrees with the experimental data. Our results clearly illustrate the characteristics of diffusive motion in SMT, which are considerably different from the conventional Brownian motion.

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Section: Resultssupporting

confidence: 77%

Duality of diffusion dynamics in particle motion in soft-mode turbulence

et al. 2013

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“…The net relaxation in SMT is well described by the KWW function and the KWW exponent β is 1 at a large ε and approaches to 2 with decreasing ε [15].…”

Section: A Net and Modal Correlation Functionsmentioning

confidence: 92%

“…It had long been considered that the simple exponential described the relaxation dynamics. However, we revealed that the relaxation deviates from the simple exponential at the vicinity of the SMT's onset [15]; instead, it is well-fitted by the so-called Kohlrausch-Williams-Watts (KWW) function [16,17] …”

Section: Introductionmentioning

confidence: 99%

“…The experimental setup for this study refers to a standard one [9,15,29,47,48]. We filled the space between two parallel glass plates with the nematic liquid crystal, N-(4-Methoxybenzilidene)-4-buthylaniline (MBBA).…”

Section: Soft-mode Turbulencementioning

confidence: 99%

“…The non-exponential behavior of the SMT's net relaxation originates from the patch structure. We have thus proposed a similarity between dynamics of SMT and GFL from a viewpoint of the spatial structure [15].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Narumi

Nugroho

Yoshitani

et al. 2013

AIP Conference Proceedings

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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 NambuGoldstone 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.

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Characteristic Exponent of Normal and Oblique Rolls in Homeotropically Aligned Nematic Liquid Crystal

Saraswati

Nugroho

2018

J. Phys.: Conf. Ser.

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Glassy dynamics in relaxation of soft-mode turbulence

Cited by 8 publications

References 49 publications

Duality of diffusion dynamics in particle motion in soft-mode turbulence

Duality of diffusion dynamics in particle motion in soft-mode turbulence

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

Characteristic Exponent of Normal and Oblique Rolls in Homeotropically Aligned Nematic Liquid Crystal

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