Slow diffusive structure in Nikolaevskii turbulence

Takayuki Narumi, Yoshiki Hidaka

研究成果: ジャーナルへの寄稿学術誌査読

1 被引用数 (Scopus)


Weak turbulence has been investigated in nonlinear-nonequilibrium physics to understand universal characteristics near the transition point of ordered and disordered states. Here the one-dimensional Nikolaevskii turbulence, which is a mathematical model of weak turbulence, is studied theoretically. We calculate the velocity field of the Nikolaevskii turbulence assuming a convective structure and carry out tagged-particle simulations in the flow to clarify the Nikolaevskii turbulence from the Lagrangian description. The tagged particle diffuses in the disturbed flow and the diffusion is superdiffusive in an intermediate timescale between ballistic and normal-diffusive scale. The diffusion of the slow structure is characterized by the power law for the control parameter near the transition point of the Nikolaevskii turbulence, suggesting that the diffusive characteristics of the slow structure remain scale invariant. We propose a simplified model, named two-scale Brownian motion, which reveals a hierarchy in the Nikolaevskii turbulence.

ジャーナルPhysical Review E
出版ステータス出版済み - 2月 2020

!!!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


「Slow diffusive structure in Nikolaevskii turbulence」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。