论文标题
在不同温度下保持两个相似的金属板之间Casimir力的非平衡作用
Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures
论文作者
论文摘要
我们研究了两个相似厚度的相似板之间的卡西米尔压力在不同温度下保持在不同温度下的情况，而板的介电介电常数取决于温度。建议将两个不同温度的介电介电常数视为两个不同物体的介电性，从而允许将Casimir力的理论应用于文献早期发展的热平衡中。遵循这种方法，我们表明，除了对非平衡卡西米尔压力的均衡贡献外，还出现了适当的非平衡贡献，这些贡献依赖温度依赖性的介电渗透率。此外，在这种情况下的平衡贡献不等于板温度下平衡卡西米尔压力的平均值。作为一种应用，使用Drude和Clasma模型计算了两个金板之间的总非平衡Casimir压力和两个钛板之间的总非平衡性卡西米尔压力。对于从0.5到2微米的板间隔，这两个模型的理论预测之间的相对差异达到39％。正确的非平衡项可能是总非平衡压力的4％。
We study the Casimir pressure between two similar plates of finite thickness kept at different temperatures in the case when the dielectric permittivity of the plates depends on temperature. It is suggested to consider the dielectric permittivity at two different temperatures as the permittivities of two dissimilar bodies, thus allowing to apply the theory of Casimir forces out of thermal equilibrium developed earlier in the literature. Following this approach, we show that, in addition to the equilibrium contribution to the nonequilibrium Casimir pressure, a proper nonequilibrium contribution arises for temperature-dependent dielectric permittivities. Furthermore, the equilibrium contribution in this case does not equal the mean of the equilibrium Casimir pressures at the temperatures of the plates. As an application, the total nonequilibrium Casimir pressure between two gold plates and between two titanium plates is calculated as a function of the plate thickness and their separation, using the Drude and the plasma model. For plate separations ranging from 0.5 to 2 micrometers, the relative difference between the theoretical predictions for these two models reaches 39%. The proper nonequilibrium term may be as large as 4% of the magnitude of the total nonequilibrium pressure.
