Memory function of turbulent fluctuations in soft-mode turbulence

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

研究成果: ジャーナルへの寄稿学術誌査読

5 被引用数 (Scopus)

抄録

Modal relaxation dynamics has been observed experimentally to clarify statistical-physical properties of soft-mode turbulence, the spatiotemporal chaos observed in homeotropically aligned nematic liquid crystals. We found a dual structure, dynamical crossover associated with violation of time-reversal invariance, the corresponding time scales satisfying a dynamical scaling law. To specify the origin of the dual structure, the memory function due to nonthermal fluctuations has been defined by a projection-operator method and obtained numerically using experimental results. The results of the memory function suggest that the nonthermal fluctuations can be divided into Markov and non-Markov contributions; the latter is called the turbulent fluctuation (TF). Consequently, the relaxation dynamics is separated into three characteristic stages: bare-friction, early, and late stages. If the dissipation due to TFs dominates over that of the Markov contribution, the bare-friction stage contracts; the early and late stages then configure the dual structure. The memory effect due to TFs results in a time-reversible relaxation at the early stage, and the disappearance of the memory by turbulent mixing leads to a simple exponential relaxation at the late stage. Furthermore, the memory effect due to TFs is shown to originate from characteristic spatial coherency called the patch structure.

本文言語英語
論文番号012505
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
87
1
DOI
出版ステータス出版済み - 1月 23 2013

!!!All Science Journal Classification (ASJC) codes

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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