Fluctuation-induced interactions between rods on a membrane
Fluctuation-induced interactions between rods on a membrane
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DOI：
10.1103/physreve.54.6725
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发表时间：
1996-12-01
影响因子：
2.4
通讯作者：
Kardar, M
中科院分区：
文献类型：
--
作者：
Golestanian, R;Goulian, M;Kardar, M
我们考虑了嵌入起伏表面的两根杆之间的相互作用。棒对涨落的修正导致了棒与棒之间吸引人的长程相互作用。我们考虑由表面张力(膜)或弯曲刚性(膜)控制的波动。在这两种情况下，随着棒的分离为1/R(4)，相互作用减弱。在前一种情况下，相互作用的取向部分与cos(2)[theta(1)+theta(2)]成正比，在后一种情况下与cos(2)[2(theta(1)+theta(2))]成正比，其中theta(1)和theta(2)是杆与连接它们的线之间的夹角。这些相互作用在某种程度上让人联想到偶极力，并将倾向于将这类棒的集合排列成链。
We consider the interaction between two rods embedded in a fluctuating surface. The modification of fluctuations by the rods leads to an attractive long-range interaction between them. We consider fluctuations governed by either surface tension (films) or bending rigidity (membranes). In both cases the interaction falls off with the separation of the rods as 1/R(4). The orientational part of the interaction is proportional to cos(2)[theta(1)+theta(2)] in the former case and to cos(2)[2(theta(1)+theta(2))] in the latter, where theta(1) and theta(2) are angles between the rods and the line joining them. These interactions are somewhat reminiscent of dipolar forces and will tend to align collections of such rods into chains.