Display options
Cite
Hidaka Y, Hashiguchi M, Oikawa N, et al. Lagrangian chaos and particle diffusion in electroconvection of planar nematic liquid crystals. Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(3):032909doi: 10.1103/PhysRevE.92.032909.
Hidaka, Y., Hashiguchi, M., Oikawa, N., & Kai, S. (2015). Lagrangian chaos and particle diffusion in electroconvection of planar nematic liquid crystals. Physical review. E, Statistical, nonlinear, and soft matter physics, 92(3), 032909. https://doi.org/10.1103/PhysRevE.92.032909
Hidaka, Yoshiki, et al. "Lagrangian chaos and particle diffusion in electroconvection of planar nematic liquid crystals." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 92,3 (2015): 032909. doi: https://doi.org/10.1103/PhysRevE.92.032909
Hidaka Y, Hashiguchi M, Oikawa N, Kai S. Lagrangian chaos and particle diffusion in electroconvection of planar nematic liquid crystals. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032909. doi: 10.1103/PhysRevE.92.032909. Epub 2015 Sep 15. PMID: 26465542.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Sep;92(3):032909. doi: 10.1103/PhysRevE.92.032909. Epub 2015 Sep 15.

Lagrangian chaos and particle diffusion in electroconvection of planar nematic liquid crystals.

Physical review. E, Statistical, nonlinear, and soft matter physics

Yoshiki Hidaka, Megumi Hashiguchi, Noriko Oikawa, Shoichi Kai

Affiliations

  1. Department of Applied Quantum Physics and Nuclear Engineering, Faculty of Engineering, Kyushu University, Fukuoka 819-0395, Japan.
  2. Department of Physics, Graduate School of Science and Engineering, Tokyo Metropolitan University, Tokyo 192-0397, Japan.

PMID: 26465542 DOI: 10.1103/PhysRevE.92.032909

Abstract

Two types of spatiotemporal chaos in the electroconvection of nematic liquid crystals, such as defect turbulence and spatiotemporal intermittency, have been statistically investigated according to the Lagrangian picture. Here fluctuations are traced using the motion of a single particle driven by chaotic convection. In the defect turbulence (fluctuating normal rolls), a particle is mainly trapped in a roll but sometimes jumps to a neighboring roll. Its activation energy is then obtained from the jumping (hopping) rate. This research clarifies that diffusion in the defect turbulence regime in electroconvection can be regarded as a kind of hopping process. The spatiotemporal intermittency appears as a coexistent state of ordered grid domains and turbulent domains. The motion of a single particle shows weak and strong diffusion, respectively, in the ordered and turbulent domains. The diffusion characteristics intermittently change from one to another with certain durations as the domains change. This research has found that the distribution function of the duration that a particle remains in an ordered area has a power-law decay for which the index is different from that obtained by the Eulerian measurement.

Publication Types