Nonlinear Actuation Dynamics of Driven Casimir Oscillators with Rough Surfaces

Broer, Wijnand; Waalkens, Holger; Svetovoy, V. B.; Knoester, Jasper; Palasantzas, G.

doi:10.1103/physrevapplied.4.054016

Cited by 49 publications

(65 citation statements)

References 34 publications

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“…[11][12][13] for a review). In so doing, puzzling findings concerning the role of dissipation of free charge carriers in metals have been reported [14][15][16][17][18][19] and important applications of dispersion forces in micromechanical systems [20][21][22] and nanochips [23] have been proposed.…”

Section: Introductionmentioning

confidence: 99%

How to observe the giant thermal effect in the Casimir force for graphene systems

Bimonte

Mostepanenko

2017

Phys. Rev. A

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A differential measurement scheme is proposed which allows for a clear observation of the giant thermal effect for the Casimir force, that was recently predicted to occur in graphene systems at short separation distances. The difference among the Casimir forces acting between a metal-coated sphere and the two halves of a dielectric plate, one uncoated and the other coated with graphene, is calculated in the framework of the Dirac model using the rigorous formalism of the polarization tensor. It is shown that in the proposed configuration both the difference among the Casimir forces and its thermal contribution can be easily measured using already existing experimental setups.An observation of the giant thermal effect should open opportunities for modulation and control of dispersion forces in micromechanical systems based on graphene and other novel 2D-materials.

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Section: Introductionmentioning

confidence: 99%

How to observe the giant thermal effect in the Casimir force for graphene systems

Bimonte

Mostepanenko

2017

Phys. Rev. A

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“…The fixed plate is assumed to be coated by Au, while the rotatable one by the materials of interest Au, SiC, and AIST (C) (with coating thickness in all cases more than 100 nm to ensure optically bulk materials) [30,34]. For simplicity, we consider flat plates because at short separations (<100 nm) nanoscale roughness can have significance influence [26,[37][38][39]. The initial distance when the plates are parallel is assumed to be d = 200 nm, and the system temperature T = 300 K. The equation of motion for the torsional system is given by…”

Section: Modeling Of Dynamical Systemmentioning

confidence: 99%

“…Here we investigate the existence of chaotic behavior of the torsional system of finite quality factor Q during forced oscillation via an applied external torque τ o cos (ωt) [38]. In this case the the separatrix (homoclinic orbit) of the conservative system "splits".…”

Section: Non-conservative System (ε = 1)mentioning

confidence: 99%

Dependence of chaotic actuation dynamics of Casimir oscillators on optical properties and electrostatic effects

et al. 2018

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Abstract. With Casimir and electrostatic forces playing a crucial role for the performance and stability of microelectromechanical systems (MEMS), the presence of chaotic behavior, which is often unavoidable, leads to device malfunction due to stiction. Therefore, we investigate here how the optical properties of different materials influence the chaotic behavior of electrostatic torsional MEMS due to changes in magnitude of the Casimir forces and torques. We consider the materials Au, which is a good conductor, AIST, which is a phase change material being close to metal in the crystalline state, and finally doped SiC as a very poor conductor. For the conservative systems, there is no chaotic behavior and the analysis of phase portraits and bifurcation diagrams reveal the strong sensitivity of stable actuation dynamics on the material optical properties, while applied electrostatic potentials lead faster to instability and stiction for higher conductivity materials. For the driven systems, the Melnikov method is used to study the chaotic behavior. The results from this method are supported by the study of the contours of the transient time to stiction in the phase plane, which reveal a substantially increased chaotic behavior for higher conductivity materials, associated with stronger Casimir torques and applied electrostatic potentials.

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“…The magnitude of this force is significant when H is less than a micron [3]. Therefore the Casimir effect must be taken into account in designing micro-and nano-devices [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Nonmonotonic Casimir interaction: The role of amplifying dielectrics

Soltani

Sarabadani²,

Zakeri

2017

Phys. Rev. A

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The normal and the lateral Casimir interactions between corrugated ideal metallic plates in the presence of an amplifying or an absorptive dielectric slab has been studied by the path-integral quantization technique. The effect of the amplifying slab, which is located between corrugated conductors, is to increase the normal and lateral Casimir interactions, while the presence of the absorptive slab diminishes the interactions. These effects are more pronounced if the thickness of the slab increases, and also if the slab comes closer to one of the bounding conductors. When both bounding ideal conductors are flat, the normal Casimir force is non-monotonic in the presence of the amplifying slab and the system has a stable mechanical equilibrium state, while the force is attractive and is weakened by intervening the absorptive dielectric slab in the cavity. By replacing one of the flat conductors by a flat ideal permeable plate the force becomes non-monotonic and the system has an unstable mechanical equilibrium state in the presence of either an amplifying or an absorptive slab. When the left side plate is conductor and the right one is permeable, the force is non-monotonic in the presence of a double-layer DA (dissipative-amplifying) dielectric slab with a stable mechanical equilibrium state, while it is purely repulsive in the presence of a double-layer AD (amplifying-dissipative) dielectric slab.

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Nonlinear Actuation Dynamics of Driven Casimir Oscillators with Rough Surfaces

Cited by 49 publications

References 34 publications

How to observe the giant thermal effect in the Casimir force for graphene systems

How to observe the giant thermal effect in the Casimir force for graphene systems

Dependence of chaotic actuation dynamics of Casimir oscillators on optical properties and electrostatic effects

Nonmonotonic Casimir interaction: The role of amplifying dielectrics

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