Bitbol Anne-Florence, Dommersnes Paul G, Fournier Jean-Baptiste
Laboratoire Matière et Systèmes Complexes (MSC), Université Paris Diderot, Paris 7 and UMR CNRS 7057, 10 rue Alice Domon et Léonie Duquet, F-75205 Paris Cedex 13, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 May;81(5 Pt 1):050903. doi: 10.1103/PhysRevE.81.050903. Epub 2010 May 28.
Although Casimir forces are inseparable from their fluctuations, little is known about these fluctuations in soft matter systems. We use the membrane stress tensor to study the fluctuations of the membrane-mediated Casimir-like force. This method enables us to recover the Casimir force between two inclusions and to calculate its variance. We show that the Casimir force is dominated by its fluctuations. Furthermore, when the distance d between the inclusions is decreased from infinity, the variance of the Casimir force decreases as -1/d2. This distance dependence shares a common physical origin with the Casimir force itself.
尽管卡西米尔力与其涨落密不可分，但对于软物质系统中的这些涨落却知之甚少。我们利用膜应力张量来研究膜介导的类卡西米尔力的涨落。这种方法使我们能够恢复两个内含物之间的卡西米尔力并计算其方差。我们表明，卡西米尔力主要由其涨落主导。此外，当内含物之间的距离d从无穷大减小时，卡西米尔力的方差以-1/d²的形式减小。这种距离依赖性与卡西米尔力本身有着共同的物理起源。
