Stenull Olaf
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Sep;78(3 Pt 1):031704. doi: 10.1103/PhysRevE.78.031704. Epub 2008 Sep 3.
We study anomalous elasticity in the tubule phases of nematic and smectic elastomer membranes, which are flat in one direction and crumpled in another. These phases share the same macroscopic symmetry properties including spontaneously broken in-plane isotropy and hence belong to the same universality class. Below an upper critical value D_{c}=3 of the membranes' intrinsic dimension D , thermal fluctuations renormalize the elasticity with respect to elastic displacements along the tubule axis so that elastic moduli for compression along the tubule axis and for bending the tubule axis become length-scale dependent. This anomalous elasticity belongs to the same universality class as that of d -dimensional conventional smectic liquid crystals with D taking on the role of d . For physical tubule phases, D=2 , this anomaly is of power-law type and thus might by easier to detect experimentally than the logarithmic anomaly in conventional smectics.
我们研究向列型和近晶型弹性体膜的微管相中的反常弹性，这些膜在一个方向上是平的，而在另一个方向上是皱缩的。这些相具有相同的宏观对称性质，包括自发破缺的面内各向同性，因此属于同一普适类。在膜的固有维度(D)的上临界值(D_{c}=3)以下，热涨落会使沿微管轴的弹性位移的弹性发生重整化，从而使沿微管轴压缩和弯曲微管轴的弹性模量与长度尺度相关。这种反常弹性与(d)维常规近晶型液晶的反常弹性属于同一普适类，其中(D)起着(d)的作用。对于物理微管相，(D = 2)，这种反常是幂律型的，因此在实验中可能比常规近晶型中的对数反常更容易检测到。
