Abstract:The Casimir force between bodies in vacuum can be understood as arising from their interaction with an infinite number of fluctuating electromagnetic quantum vacuum modes, resulting in a complex dependence on the shape and material of the interacting objects. Becoming dominant at small separations, the force has a significant role in nanomechanics and object manipulation at the nanoscale, leading to a considerable interest in identifying structures where the Casimir interaction behaves significantly different … Show more
“…More recently, nanostructured surfaces have been theoretically considered in the contexts of both force [32][33][34][35] and heat transfer [36,37]. Experimentally, the force has been measured between a sphere and a dielectric [38,39] or metallic [40] grating.…”
We calculate the Casimir-Lifshitz pressure in a system consisting of two different one-dimensional 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 nonequilibrium 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.
“…More recently, nanostructured surfaces have been theoretically considered in the contexts of both force [32][33][34][35] and heat transfer [36,37]. Experimentally, the force has been measured between a sphere and a dielectric [38,39] or metallic [40] grating.…”
We calculate the Casimir-Lifshitz pressure in a system consisting of two different one-dimensional 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 nonequilibrium 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.
“…As the separation is further increased to 0.6 μm, the chargeinduced fluctuation force becomes 17 Pa, which is almost double the Casimir interaction of 10 Pa at that distance. We note that fluctuation-induced interactions of this magnitude can be accessed experimentally, as shown for the Casimir regime [21,38]. Therefore, we suggest that measurements in a nanocapacitor with and without the connecting wire might give means to distinguish between the typical Casimir and charge-induced Casimir-like interactions in an experimental setting.…”
Section: Resultsmentioning
confidence: 98%
“…While the Casimir phenomenon is due to the electromagnetic fluctuation excitations associated with the dielectric and magnetic response of each plate, the charge-induced effect is due to monopolar charge fluctuations between the plates transferred through the wire. Since in many cases nanostructures are characterized by a reduced Casimir force as compared to 3D [19][20][21][22], nanocapacitors offer the possibility of finding regimes where the charge-induced fluctuation interaction can be dominant.…”
Charge fluctuations in nanocircuits with capacitor components are shown to give rise to a novel type of long-ranged interaction, which coexist with the regular Casimir-van der Waals force. The developed theory distinguishes between thermal and quantum mechanical effects, and it is applied to capacitors involving graphene nanostructures. The charge fluctuations mechanism is captured via the capacitance of the system with geometrical and quantum mechanical components. The dependence on the distance separation, temperature, size, and response properties of the system shows that this type of force can have a comparable and even dominant effect to the Casimir interaction. Our results strongly indicate that fluctuation-induced interactions due to various thermodynamic quantities can have important thermal and quantum mechanical contributions at the microscale and the nanoscale.
“…There have been a number of experiments showing that the magnitude of the Casimir force could be varied by changing the surface geometry of the interacting objects [5][6][7][8][9][10][11][12][13][14]. To investigate the impact of curvature and corrugation, the Casimir forces have been measured between a sphere and a sinusoidal grating [5] and between two corrugated surfaces for both aligned [6,7] and crossed [13,14] corrugations.…”
We develop a formalism to calculate the fluctuation-induced interactions in periodic systems. The formalism, which combines the scattering theory with the C method borrowed from electromagnetic gratings studies, is suitable and efficient for the calculation of the Casimir forces involving surface relief gratings. We apply the developed technique to obtain the energy and lateral force for simple 1-D sinusoidal gratings. Using this formalism we derived known asymptotic expressions that were previously obtained through perturbative approximations. At close separation, our numerical results match those obtained by the proximity force approximation and its first correction using the derivative expansion.
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