论文标题
球球几何形状中的通用卡西米尔相互作用
Universal Casimir interactions in the sphere-sphere geometry
论文作者
论文摘要
我们研究了两种彼此双重的配置中的通用Casimir相互作用。第一个涉及由Drude模型描述的球并被真空隔开，而第二个则涉及浸入盐溶液中的介电球，该距离浸入了盐溶液中，距离大于Debye筛选长度。在这两种情况下，长距离极限（等效的高温极限）都由低频横向磁热波动的影响主导。它们与材料介电函数的细节无关，这是由于金属在前一种情况下的有限电导率和后者的盐水的有限电导率。与减少自由能的近似保形不变性有关，它们还显示了对几何维度的依赖性的普遍性。
We study universal Casimir interactions in two configurations which appear as dual to each other. The first involves spheres described by the Drude model and separated by vacuum while the second involves dielectric spheres immersed in a salted solution at distances larger than the Debye screening length. In both cases, the long-distance limit, equivalently the high-temperature limit, is dominated by the effect of low-frequency transverse magnetic thermal fluctuations. They are independent of the details of dielectric functions of materials, due to the finite conductivity of metals in the former case and of salted water in the latter one. They also show universality properties in their dependence on geometric dimensions, in relation to an approximate conformal invariance of the reduced free energy.
