Ramaswamy, Sriram (1984) Solidlike behaviour in liquid layers: a theory of the yield stress in smectics Physical Review A - Atomic, Molecular, and Optical Physics, 29 (3). pp. 1506-1513. ISSN 1050-2947
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Official URL: http://pra.aps.org/abstract/PRA/v29/i3/p1506_1
Related URL: http://dx.doi.org/10.1103/PhysRevA.29.1506
Abstract
A study of anharmonic effects in the presence of shear flow in the liquid layers of smectic-A, hexatic-B, and cholesteric liquid crystals is presented. It is shown that the nonlinear coupling of the velocity field to thermally excited undulations of the layers gives rise to a singular 1/|γ| dependence of the viscosities ηi on the shear strain rate γ| at small γ|. In addition, the coefficient of this anomaly is found to diverge as (lnL)2 where L is the size of the system. The 1/|γ| divergence of η2, which governs shear flow in the layers, is shown to imply that a minimum applied stress is required in order to set up such a flow. It is demonstrated that this effect provides a straightforward explanation of the puzzling non-Newtonian "plastic" behavior widely observed in experiments on capillary flow in the liquid directions of smectics. The magnitude of the observed yield stress is shown to be consistent with the predictions of this work. Further experimental tests of the theory presented here are suggested.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 40145 |
Deposited On: | 21 May 2011 10:20 |
Last Modified: | 23 May 2011 10:06 |
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