Department of Physics & Astronomy, University of California, Riverside, California 92521, USA.
Phys Rev Lett. 2011 Nov 25;107(22):228104. doi: 10.1103/PhysRevLett.107.228104. Epub 2011 Nov 23.
We develop an exact method to calculate thermal Casimir forces between inclusions of arbitrary shapes and separation, embedded in a fluid membrane whose fluctuations are governed by the combined action of surface tension, bending modulus, and Gaussian rigidity. Each object's shape and mechanical properties enter only through a characteristic matrix, a static analog of the scattering matrix. We calculate the Casimir interaction between two elastic disks embedded in a membrane. In particular, we find that at short separations the interaction is strong and independent of surface tension.
我们开发了一种精确的方法来计算任意形状和分离的包含物之间的热 Casimir 力，这些包含物嵌入在由表面张力、弯曲模量和高斯刚性共同作用控制其涨落的流体膜中。每个物体的形状和力学性质仅通过特征矩阵（散射矩阵的静态模拟）来体现。我们计算了嵌入在膜中的两个弹性圆盘之间的 Casimir 相互作用。特别是，我们发现，在短距离时，相互作用很强，且与表面张力无关。
