Casimir force between inclusions in a stretchable fluid membrane

論文發表人: 林香谷 (加州大學河濱分校物理系)

 

http://meetings.aps.org/Meeting/MAR09/Event/94611

 

我們計算在可伸展細胞膜表面引入外來物顆粒後因熱微擾產生的熵力。這種熵力可看作是在有限溫度下的喀西米爾力。在我們的模型中考慮了細胞膜因為表面張力與彎曲所產生的能量改變。為了簡化計算，我們考慮兩個圓盤形狀的外來物，藉此，可以讓細胞膜原來的正常模態發生改變，進而造成喀西米爾效應。我們的結果包含了任意強度微擾造成的熵力，其中涵蓋外來物是孔洞，剛性圓盤等等。我們計算也考慮了邊界效應對系統的影響。

 

We calculate the entropic fluctuational force, a finite- temperature analogue of the Casimir force, between foreign inclusions in a strechable fluid membrane. Specifically, we consider the fluctuations of a planar membrane governed by the full Helfrich Hamiltonian, including the surface tension and both bending rigidity terms. The inclusions are introduced as circular regions where the surface tension and/or bending rigidities are modified from their values on the non-perturbed membrane.  Results for arbitrarily-strong perturbations of the membrane, including holes, rigid disks, and edges will be presented.