Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

Abstract

We calculate the Casimir-Lifshitz pressure in a system consisting of two different 1D dielectric lamellar gratings having two different temperatures and immersed in an environment having a third temperature. The calculation of the pressure is based on the knowledge of the scattering operators, deduced using the Fourier Modal Method. The behavior of the pressure is characterized in detail as a function of the three temperatures of the system as well as the geometrical parameters of the two gratings. We show that the interplay between non-equilibrium effects and geometrical periodicity offers a rich scenario for the manipulation of the force. In particular, we find regimes where the force can be strongly reduced for large ranges of temperatures. Moreover, a repulsive pressure can be obtained, whose features can be tuned by controlling the degrees of freedom of the system. Remarkably, the transition distance between attraction and repulsion can be decreased with respect to the case of two slabs, implying an experimental interest for the observation of repulsion.

13 pages, 11 figures, accepted on Phys. Rev. A

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• Near-field radiative heat transfer between shifted graphene gratings
• Near-field radiative heat transfer between a nanoparticle and a graphene grating
• Casimir repulsion with biased semiconductors
• Casimir-Lifshitz force for graphene-covered gratings
• Nonequilibrium Casimir pressure for two graphene-coated plates: Quantum field theoretical approach
• Dynamical atom-wall Casimir-Polder effect after a sudden change of the atomic position
• Normal and lateral Casimir-Lifshitz forces between a nanoparticle and a graphene grating