Comment on “Casimir Force at Both Nonzero Temperature and Finite Conductivity”

2001 ◽  
Vol 87 (25) ◽  
Author(s):  
Bo E. Sernelius ◽  
M. Boström
Keyword(s):  
Casimir Force ◽  
Finite Conductivity ◽  
Nonzero Temperature

scholarly journals Casimir Force at Both Nonzero Temperature and Finite Conductivity

2000 ◽  
Vol 85 (3) ◽  
pp. 503-506 ◽  
Author(s):  
M. Bordag ◽  
B. Geyer ◽  
G. L. Klimchitskaya ◽  
V. M. Mostepanenko
Keyword(s):  
Casimir Force ◽  
Finite Conductivity ◽  
Nonzero Temperature

Casimir Force Between a Flat Plate and a Spherical Lens: Application to the Results of a New Experiment

1997 ◽  
Vol 12 (34) ◽  
pp. 2613-2622 ◽  
Author(s):  
V. B. Bezerra ◽  
G. L. Klimchitskaya ◽  
C. Romero
Keyword(s):  
Flat Plate ◽  
Experimental Error ◽  
Recent Experiment ◽  
Casimir Force ◽  
Finite Size ◽  
Finite Conductivity ◽  
Geometrical Shape ◽  
Spherical Lens ◽  
Arbitrary Size ◽  
Interacting Surfaces

The Casimir force is calculated in a configuration consisting of a lens placed above a flat plate of arbitrary size used in recent experiment. The corrections due to the finite size of the plate are shown to be negligible. On the other hand, corrections due to the small distortions of interacting surfaces, their deviation from the perfect geometrical shape and due to the finite metal conductivity were found to be several times larger than the relative experimental error. It is shown that the corrections due to distortions and finite conductivity have opposite signs and may compensate each other.

Separation Gap Estimation in Dynamic Systems Actuated by Casimir Force

2011 ◽  
Vol 254 ◽  
pp. 21-24
Author(s):  
Song Cui ◽  
Yeng Chai Soh
Keyword(s):  
Surface Roughness ◽  
Simulation Study ◽  
Dynamic Systems ◽  
Casimir Force ◽  
Estimation Method ◽  
Finite Conductivity ◽  
Unknown Parameters ◽  
Experimental Conditions

In this paper, a new estimation method is proposed to estimate the separation gap and other unknown parameters in Casimir force actuated systems. Real experimental conditions like the finite conductivity and surface roughness are considered as well. Simulation study shows that the method is accurate even when the system has severe nonlinearity.

scholarly journals Casimir Force on a Surface with Shallow Nanoscale Corrugations: Geometry and Finite Conductivity Effects

2010 ◽  
Vol 105 (25) ◽  
Author(s):  
Y. Bao ◽  
R. Guérout ◽  
J. Lussange ◽  
A. Lambrecht ◽  
R. A. Cirelli ◽  
...  
Keyword(s):  
Casimir Force ◽  
Finite Conductivity

DEMONSTRATING THE STRONG GEOMETRY DEPENDENCE OF THE CASIMIR FORCE ON A SURFACE WITH DEEP, NANOSCALE CORRUGATIONS

2010 ◽  
Vol 25 (11) ◽  
pp. 2212-2222 ◽  
Author(s):  
H. B. CHAN ◽  
Y. BAO ◽  
J. ZOU ◽  
R. A. CIRELLI ◽  
F. KLEMENS ◽  
...  
Keyword(s):  
Casimir Force ◽  
Flat Surface ◽  
Torsional Oscillator ◽  
Silicon Surfaces ◽  
Finite Conductivity ◽  
Additive Approximation ◽  
Corrugated Surfaces ◽  
Geometry Dependence ◽  
Proximity Force Approximation ◽  
Gold Sphere

We measure the Casimir force gradient between silicon surfaces with nanoscale, rectangular corrugations and a gold sphere attached to a micromechanical torsional oscillator. By comparing the force gradients on the corrugated surfaces to that on a smooth, flat surface of the same material, we demonstrate that the Casimir force deviates from the value expected from the pairwise additive approximation and the proximity force approximation. The observed deviation qualitatively agrees with calculations that take into account the interplay between finite conductivity and geometry effects. However, the agreement is not exact, possibly due to uncertainties in the optical properties of the silicon substrate.

scholarly journals CORRELATION BETWEEN PLASMA AND TEMPERATURE CORRECTIONS TO THE CASIMIR FORCE

2002 ◽  
Vol 17 (06n07) ◽  
pp. 761-766 ◽  
Author(s):  
CYRIAQUE GENET ◽  
ASTRID LAMBRECHT ◽  
SERGE REYNAUD
Keyword(s):  
Finite Temperature ◽  
Casimir Force ◽  
Optical Response ◽  
Correlation Factor ◽  
Experimental Results ◽  
Finite Conductivity ◽  
Plasma Model ◽  
Theoretical Predictions

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors and finite temperature are simultaneously taken into account. We show that these two corrections are correlated, i.e. that they can not, in principle, be evaluated separately and simply multiplied. We estimate the correlation factor which measures the deviation from this common approximation. We focus our attention on the case of smooth and plane plates with a metallic optical response modeled by a plasma model.

scholarly journals CASIMIR FORCE UNDER THE INFLUENCE OF REAL CONDITIONS

2001 ◽  
Vol 16 (19) ◽  
pp. 3291-3308 ◽  
Author(s):  
B. GEYER ◽  
G. L. KLIMCHITSKAYA ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Casimir Force ◽  
Zero Point ◽  
Temperature Correction ◽  
Finite Conductivity ◽  
Parallel Plates ◽  
Plasma Model ◽  
Spherical Lens ◽  
Relevant Factors ◽  
Good Agreement ◽  
Zero Frequency

The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with an account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The permittivity of the metal is described by the plasma model. It is proved that in case of the plasma model the scattering formalism of quantum field theory in Matsubara formulation underlying Lifshitz formula is well defined and no modifications are needed concerning the zero-frequency contribution. The temperature correction to the Casimir force is found completely with respect to temperature and perturbatively (up to the second order in the relative penetration depth of electromagnetic zero-point oscillations into the metal) with respect to finite conductivity. The asymptotics of low and high temperatures are presented and contributions of longitudinal and perpendicular modes are determined separately. Serving as an example, aluminium test bodies are considered, showing good agreement between the obtained analytical results and previously performed numerical computations. The roughness correction is formally included and formulas are given permitting us to calculate the Casimir force under the influence of all relevant factors.

scholarly journals WHAT IS THE TEMPERATURE DEPENDENCE OF THE CASIMIR FORCE BETWEEN REAL METALS?

2002 ◽  
Vol 17 (06n07) ◽  
pp. 751-760 ◽  
Author(s):  
G. L. KLIMCHITSKAYA
Keyword(s):  
Temperature Dependence ◽  
Dielectric Function ◽  
Casimir Force ◽  
Recent Literature ◽  
Nonzero Temperature ◽  
Application Range ◽  
The Subject ◽  
Special Modification ◽  
Frequency Term ◽  
Zero Frequency

The situation with the temperature corrections to the Casimir force between real metals of finite conducitivity is reported. It is shown that the plasma dielectric function is well adapted to the Lifshitz formula and leads to reasonable results for real conductors. The Drude dielectric function which describes media with dissipation is found not to belong to the application range of the Lifshitz formula at nonzero temperature. For Drude metals the special modification of the zero-frequency term of this formula is suggested. The contradictory results on the subject in recent literature are analysed and explained.

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