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Title: Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions.
Authors: Yabunaka, Shunsuka
Hayakawa, Hisao  kyouindb  KAKEN_id
Author's alias: 薮中, 俊介
Issue Date: 4-Feb-2015
Publisher: AIP Publishing
Journal title: The Journal of chemical physics
Volume: 142
Issue: 5
Thesis number: 054903
Abstract: We investigate nonlinear rheology of dilute liquid crystalline polymer solutions under time dependent two-directional shear flow. We analyze the Smoluchowski equation, which describes the dynamics of the orientation of a liquid crystalline polymer, by employing technique of the full counting statistics. In the adiabatic limit, we derive the expression for time integrated currents generated by a Berry-like curvature. Using this expression, it is shown that the expectation values of the time-integrated angular velocity of a liquid crystalline polymer and the time-integrated stress tensor are generally not zero even if the time average of the shear rate is zero. The validity of the theoretical calculations is confirmed by direct numerical simulations of the Smoluchowski equation. Nonadiabatic effects are also investigated by means of simulations and it is found that the time-integrated stress tensor depends on the speed of the modulation of the shear rate if we adopt the isotropic distribution as an initial state.
Rights: © 2015 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
DOI(Published Version): 10.1063/1.4906557
PubMed ID: 25662664
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