Biscari Paolo, Terentjev Eugene M
Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milan, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 May;73(5 Pt 1):051706. doi: 10.1103/PhysRevE.73.051706. Epub 2006 May 16.
We consider the coupling between the local curvature tensor of a membrane and the local two-dimensional nematic order parameter, deriving it from a quasi-microscopic argument. This coupling makes the nematic director aligned along the lowest curvature eigenvector in a local metric. Local bending of a membrane may then generate nematic ordering. Alternatively, emerging nematic order leads to shape instabilities of closed vesicles. The theory is applied to a spherical isotropic vesicle, which turns into a prolate shape with two +1 disclinations on its poles as the nematic order sets in the membrane, described within the Landau-de Gennes continuum model.
我们考虑膜的局部曲率张量与局部二维向列序参量之间的耦合，通过准微观论证推导得出这种耦合。这种耦合使得向列指向矢在局部度量中沿最低曲率本征向量排列。膜的局部弯曲随后可能产生向列有序。或者，出现的向列有序会导致封闭囊泡的形状不稳定性。该理论应用于一个球形各向同性囊泡，在朗道 - 德热纳连续体模型中描述，当膜中出现向列序时，它会变成一个长球形，在其极点处有两个 +1 型 disclination（译注：可能是“位错”之类的专业术语，此处保留英文）。
