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

Koyo Tamura, Yoshiki Hidaka, Yusril Yusuf, Shoichi Kai

Research output: Contribution to journalConference article

28 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)157-168
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume306
DOIs
Publication statusPublished - Apr 1 2002
Event21th IUPAP Conference on Invited Papares (STATPHYS 21) - Cancun, Mexico
Duration: Jul 15 2001Jul 21 2001

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Anomalous Diffusion
Turbulence
electrohydrodynamics
turbulence
Electrohydrodynamics
particle trajectories
normal density functions
Spatiotemporal Chaos
Particle Trajectory
travel
density distribution
chaos
Nematic Liquid Crystal
flow velocity
Probability Density
liquid crystals
alignment
Lagrange
Control Parameter
Brownian motion

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Anomalous diffusion and Lévy distribution of particle velocity in soft-mode turbulence in electroconvection. / Tamura, Koyo; Hidaka, Yoshiki; Yusuf, Yusril; Kai, Shoichi.

In: Physica A: Statistical Mechanics and its Applications, Vol. 306, 01.04.2002, p. 157-168.

Research output: Contribution to journalConference article

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