Comparison of the Lifshitz Theory Using the Nonconventional Fit of Response Functions with Precise Measurements of the Casimir Force
arXiv:2305.02608 · doi:10.3390/sym15051011
Abstract
It has been known that the fundamental Lifshitz theory, which is based on first principles of thermal quantum field theory, experiences difficulties when compared with precise measurements of the Casimir force. We analyze the nonconventional fit of response functions of many materials along the imaginary frequency axis to the empirical model of "modified" oscillators which was recently proposed in the literature. According to our results, this model is unacceptable because at high frequencies it leads to the asymptotic behavior of response functions which is in contradiction with that following from the fundamental physical principles. We calculate the Casimir interaction in the configurations of several precise experiments using the Lifshitz theory and the response functions to quantized electromagnetic field expressed in terms of modified oscillators and demonstrate that the obtained results are excluded by the measurement data. This invalidates a claim made in the literature that the Casimir-van der Waals forces calculated using these response functions are in remarkable agreement with the experimental values. Possible reasons for a disagreement between experiment and theory are discussed, and the way to improve the situation is directed.
arXiv comment13 pages, 4 figures
References in corpus (45)
- The Casimir force between real materials: experiment and theory
- Nonlinear Micromechanical Casimir Oscillator
- Stiction, Adhesion Energy and the Casimir Effect in Micromechanical Systems
- Improved Precision Measurement of the Casimir Force Using Gold Surfaces
- Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
- A Materials Perspective on Casimir and van der Waals Interactions
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- Control of the Casimir force by the modification of dielectric properties with light
- Metastability and the Casimir Effect in Micromechanical Systems
- Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using atomic force microscope in a frequency shift technique
- Casimir effect with rough metallic mirrors
- Influence of random roughness on the Casimir force at small separations
- Isoelectronic determination of the thermal Casimir force
- Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
- Theory confronts experiment in the Casimir force measurements: quantification of errors and precision
- Casimir forces on a silicon micromechanical chip
- Casimir forces beyond the proximity approximation
- The proximity force approximation for the Casimir energy as a derivative expansion
- Investigation of the Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies
- Material dependence of Casimir forces: gradient expansion beyond proximity
- Conductivity of dielectric and thermal atom-wall interaction
- Reduction of the Casimir force from indium tin oxide film by UV treatment
- Kramers-Kronig relations for plasma-like permittivities and the Casimir force
- Modifying the Casimir force between indium tin oxide film and Au sphere
- Significance of the Casimir force and surface roughness for actuation dynamics of MEMS
- Plasma vs Drude modelling of the Casimir force: beyond the proximity force approximation
- Casimir Puzzle and Casimir Conundrum: Discovery and Search for Resolution
- Nonlinear actuation dynamics of driven Casimir oscillators with rough surfaces
- Control of the Casimir Force Using Semiconductor Test Bodies
- Sensitivity of micromechanical actuation on amorphous to crystalline phase transformations under the influence of Casimir forces
- Magnetic materials and the problem of thermal Casimir force
- Making precise predictions of the Casimir force between metallic plates via a weighted Kramers-Kronig transform
- Going beyond PFA: a precise formula for the sphere-plate Casimir force
- Material dependence of Casimir interaction between a sphere and a plate: First analytic correction beyond proximity force approximation
- Casimir switch: steering optical transparency with vacuum forces
- Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect
- An alternative response to the off-shell quantum fluctuations: A step forward in resolution of the Casimir puzzle
- Optical chopper driven by the Casimir force
- Theory-experiment comparison for the Casimir force between metallic test bodies: A spatially nonlocal dielectric response
- Advancing numerics for the Casimir effect to experimentally relevant aspect ratios
- Current status of the problem of thermal Casimir force
- Probing the response of metals to low-frequency s-polarized evanescent fields
- Experimentum crucis for electromagnetic response of metals to evanescent waves and the Casimir puzzle
- Casimir pressure in peptide films on metallic substrates: Change of sign via graphene coating
- Attractive and repulsive fluctuation-induced pressure in peptide films deposited on semiconductor substrates