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处于探测状态的刺猬。

Hedgehogs in the dowser state.

作者信息

Pieranski Pawel, Čopar Simon, Godinho Maria Helena, Dazza Mallory

机构信息

Laboratoire de Physique des Solides, Université Paris-Sud, Bât. 510, 91405, Orsay, France.

Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia.

出版信息

Eur Phys J E Soft Matter. 2016 Dec;39(12):121. doi: 10.1140/epje/i2016-16121-7. Epub 2016 Dec 12.

Abstract

We show how to easily generate point defects called hedgehogs, in the so-called quasi-planar texture --the dowser state-- of a nematic layer confined between surfaces with homeotropic anchoring conditions. We point out that the dowser texture can be preserved infinitely in spite of its higher energy with respect to the homogeneous homeotropic texture. For topological reasons the dowser state in a squeezed droplet must contain at least one hedgehog. We submitted this hedgehog to a rotating magnetic field and controlled the continuous evolution, transitioning continuously between radial, hyperbolic and circular hedgehogs, which, just as in previous experiments by Lavrentovich et al., are topologically equivalent states. The dynamics of this transformation is shown to be directly sensitive to energy costs of different geometric configurations of the hedgehog defect and therefore can be used as a rough probe for elastic constants; knowing the principal elastic constants K, one can retrieve information about the K constant. We propose also a method of generation of hedgehog pairs by application of a Poiseuille flow to a dowser state wound by a rotating magnetic field.

摘要

我们展示了如何在具有垂直锚定条件的表面之间限制的向列层的所谓准平面纹理(即探寻者状态)中轻松生成称为刺猬的点缺陷。我们指出,尽管探寻者纹理相对于均匀垂直纹理具有更高的能量,但它仍可无限期保留。由于拓扑原因,挤压液滴中的探寻者状态必须至少包含一个刺猬。我们将这个刺猬置于旋转磁场中,并控制其连续演化,使其在径向、双曲线和圆形刺猬之间连续转变,就像在Lavrentovich等人之前的实验中一样,这些状态在拓扑上是等效的。结果表明,这种转变的动力学对刺猬缺陷不同几何构型的能量成本直接敏感,因此可以用作弹性常数的粗略探针;知道主弹性常数K,就可以获取有关K常数的信息。我们还提出了一种通过对由旋转磁场缠绕的探寻者状态施加泊肃叶流来生成刺猬对的方法。

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