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.
| Original language | English |
|---|---|
| Article number | 054903 |
| Journal | Journal of Chemical Physics |
| Volume | 142 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Feb 7 2015 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry
Cite this
Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions. / Yabunaka, Shunsuke; Hayakawa, Hisao.
In: Journal of Chemical Physics, Vol. 142, No. 5, 054903, 07.02.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions
AU - Yabunaka, Shunsuke
AU - Hayakawa, Hisao
PY - 2015/2/7
Y1 - 2015/2/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84923771968&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84923771968&partnerID=8YFLogxK
U2 - 10.1063/1.4906557
DO - 10.1063/1.4906557
M3 - Article
AN - SCOPUS:84923771968
VL - 142
JO - Journal of Chemical Physics
JF - Journal of Chemical Physics
SN - 0021-9606
IS - 5
M1 - 054903
ER -