Friction drag of a spherical particle in a liquid crystal above the isotropic-nematic transition

Jun Ichi Fukuda, Holger Stark, Hiroshi Yokoyama

研究成果: ジャーナルへの寄稿学術誌査読

15 被引用数 (Scopus)


We study the friction drag of a spherical particle in the isotropic phase of a nematic liquid crystal close to the isotropic-nematic transition point. To describe the orientational order in the liquid crystal, the second-rank tensor order parameter Qαβ is employed. We solve the hydrodynamic equations for Qαβ and the fluid velocity υ in order to determine the friction drag. In our discussion of the friction drag, we concentrate on four parameters: the temperature, the surface order parameter, the particle radius, and the Ericksen number Er (characterizing the ratio of the viscous force to the elastic force). The temperature dependence of the friction drag agrees well with experiments that show an increasing friction drag when the isotropic-nematic phase transition is approached from above. Furthermore the friction drag increases with the surface order parameter due to the more pronounced surface nematic layer, and for larger particles it is less affected by this layer. Finally, we observe that in the range of Er we study, the friction drag is almost independent of Er although flow-induced order occurs for sufficiently large Er and surface order parameter.

ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
出版ステータス出版済み - 8月 1 2005

!!!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


「Friction drag of a spherical particle in a liquid crystal above the isotropic-nematic transition」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。