Anomalous diffusion and Lévy distribution of particle velocity in soft-mode turbulence in electroconvection

Koyo Tamura, Yoshiki Hidaka, Yusril Yusuf, Shoichi Kai

研究成果: ジャーナルへの寄稿Conference article

28 引用 (Scopus)


We study the complex behavior in soft-mode turbulence (SMT), a recently discovered type of spatiotemporal chaos observed in electrohydrodynamic instability (EHD) of a nematic liquid crystal with homeotropic alignment. A particle, small compared to the characteristic length of the macroscopic flow, injected in SMT travels with random velocity such as an active Brownian motion. Tracking the particle trajectory induces changes in the flow velocity as a function of space and time (the Lagrange picture). The mean amplitude of the velocity is linearly proportional to the control parameter ε, normalized voltage in EHD. The probability density distribution of the particle velocity changes from Lévy for small ε to Gaussian distribution for large ε through intermediate distributions. The different regimes of anomalous diffusions are also observed. The stochastic properties of SMT are discussed based on these results.

ジャーナルPhysica A: Statistical Mechanics and its Applications
出版物ステータス出版済み - 4 1 2002
イベント21th IUPAP Conference on Invited Papares (STATPHYS 21) - Cancun, メキシコ
継続期間: 7 15 20017 21 2001


All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Statistical and Nonlinear Physics