We study the Casimir-Lifshitz force and the radiative heat transfer occurring between two arbitrary bodies, each one held at a given temperature, surrounded by environmental radiation at a third temperature. The system, in stationary configuration out of thermal equilibrium, is characterized by a force and a heat transfer depending on the three temperatures, and explicitly expressed in terms of the scattering operators of each body. We find a closed-form analytic expression valid for bodies of any geometry and dielectric properties. As an example, the force between two parallel slabs of finite thickness is calculated, showing the importance of the environmental temperature as well as the occurrence of a repulsive interaction. An analytic expression is also provided for the force acting on an atom in front of a slab. Our predictions can be relevant for experimental and technological purposes.
Casimir-Lifshitz interaction between ZnO and SiO2 nanorods in bromobenzene: retardation effects turn the interaction repulsive at intermediate separations
Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
得到了石墨烯与平板、石墨烯与原子或分子、单壁碳纳米管与平板之间的van der Waals和Casimir相互作用的Lifshitz型公式。石墨烯上电磁振荡的反射特性由施加在无限薄的带正电的等离子体片上的特定边界条件决定，该等离子体片携带具有一定质量和电荷密度的连续流体。将所得公式应用于石墨烯与Au和Si板的相互作用、氢原子和分子与石墨烯的相互作用以及单壁碳纳米管与Au和Si板的相互作用。更复杂的碳纳米结构的推广进行了讨论。
We reply to the "Comment on 'The Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors'" [arXiv:1604.06432]. We believe the comment misrepresents our papers, and fails to provide a plausible resolution to the conflict between theory and experiment.
A new model for calculating the Casimir-Lifshitz force per unit length for two dielectric rods is proposed, based on the Green function method of classical electrodynamics and the Lorentz model for permittivity.
Reply to Comment [arXiv:0810.3244v1] by R.S. Decca et al. on "Contribution of drifting carriers to the Casimir-Lifshitz and Casimir-Polder interactions with semiconductor materials"
我们表明，R.S. Decca等人反对我们的报纸D.A.R. Dalvit和S.K. Lamoreaux，Phys. Rev. Lett. { \bf 101}，163203（2008），是错误的，明显不符合统计物理学的基本原理。
We consider the interaction pressure acting on the surface of a dielectric sphere enclosed within a magnetodielectric cavity. We determine the sign of this quantity regardless of the geometry of the cavity for systems at thermal equilibrium, extending the Dzyaloshinskii-Lifshitz-Pitaevskii result for homogeneous slabs. As in previous theorems regarding Casimir-Lifshitz forces, the result is based on the scattering formalism. In this case the proof follows from the variable phase approach of electromagnetic scattering. With this, we present configurations in which both the interaction and the s…
We extend our previous work on the electromagnetic Casimir-Lifshitz interaction between two bodies when one is contained within the other. We focus on the fluctuation-induced pressure acting on the cavity wall, which is assumed to be spherical. This pressure can be positive or negative depending on the response functions describing the bodies and the medium filling the cavity. However, we find that, under general hypotheses, the sign is independent of the geometry of the configuration. This result is based on the representation of the Casimir-Lifshitz energy in terms of transition operators. I…
Casimir-Lifshitz force between moving plates at different temperatures
在[New J. Phys. 11，033035（2009）]中发现了以任意恒定速度彼此平行移动的两个板之间的零温度Casimir-Lifshitz力。这里的解决方案是推广到的情况下，板在不同的温度。Casimir-Lifshitz力通过计算电磁应力张量获得，使用Antezza等人[Phys.Rev.A77，022901（2008）]针对不同温度下的非移动板采用的方法。作用在平板上的垂直力有来自量子真空和热辐射的贡献;这两种贡献都受到运动的影响。除了垂直力之外，来自运动板的热辐射还产生了卡西米尔-李夫希茨力的横向分量，这是一种没有量子真空贡献的效应。零温度的结果被再现，特别是不存在的量子真空摩擦板之间。
We review complicated problems in the Lifshitz theory describing the Casimir force between real material plates made of metals and dielectrics including different approaches to their resolution. It has been shown that both for metallic plates with perfect crystal lattices and for any dielectric plates the Casimir entropy calculated in the framework of the Lifshitz theory violates the Nernst heat theorem when the well approved dielectric functions are used in computations. The respective theoretical Casimir forces are excluded by the measurement data of numerous precision experiments. In the li…
More than forty years ago, Barash published a calculation of the full retarded Casimir-Lifshitz torque for planar birefringent media with arbitrary degrees of anisotropy. An independent theoretical confirmation has been lacking since. We report a systematic and transparent derivation of the torque between two media with both electric and magnetic birefringence. Our approach, based on an eigenmode decomposition of Maxwell's equations, generalizes Barash's result for electrically birefringent materials, and can be generalized to a wide range of anisotropic materials and finite thickness effects.
Recently Guerout et al. [Phys. Rev. E, v.93, 022108 (2016)] advocated that the lossless plasma model has to be redefined as the limit of the Drude model when the relaxation parameter goes to zero. It was claimed that the previously used plasma model cannot correctly describe the Casimir pressure between two plates made of both nonmagnetic and magnetic metals and has to be replaced with the redefined one. We show that the suggested redefinition does not satisfy necessary physical requirements imposed on the dielectric permittivity. We also present a plausible explanation to the fact that the lo…
Reply to "Comment on 'Precision measurement of the Casimir-Lifshitz force in a fluid'"
我们已经回顾了Geyer等人[arXiv：0708.1548]关于我们最近工作[Phys. Rev. A 75，060102（R）（2007）]的评论，虽然我们不同意他们的批评，但我们感谢他们给我们机会添加有趣的补充材料和更详细的实验描述。我们进一步描述了我们的计算，并解释了为什么一个更复杂的模型是不必要的。我们还提出了详细的实验中的静电力的影响，在我们的测量和显示，由于功函数的差异的贡献是小的，剩余的静电力主要是由陷阱电荷和外部字段。最后，我们估计了双层相互作用的影响。这些额外的计算和测量支持了我们原来的结论，即实验结果与Lifshitz理论是一致的。
Based on the theory of macroscopic quantum electrodynamics, we generalize the expression of the Casimir force for nonreciprocal media. The essential ingredient of this result is the Green's tensor between two nonreciprocal semi-infinite slabs including a reflexion matrix with four coefficients that mixes optical polarizations. This Green's tensor does not obey Lorentz's reciprocity and thus violates time-reversal symmetry. The general result for the Casimir force is analyzed in the retarded and nonretarded limits, concentrating on the influences arising from reflections with or without change …
