Erratum: Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies [Phys. Rev. B<b>88</b>, 155410 (2013)]

Банишев, А. А.; Mostepanenko, V. M.; Mohideen, U.

doi:10.1103/physrevb.89.159901

Cited by 49 publications

(128 citation statements)

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“…The computations are performed by using (11)- (13) and (7). The dielectric permittivity of Au along the imaginary frequency axis is obtained from the tabulated optical data [61] extrapolated to lower frequencies by means of the Drude or plasma models using the standard procedures [2,3,29,30,31,32,33,34,35,36]. In the configuration of a dielectric film deposited on a Au plate both extrapolations lead to almost coinciding results for the Casimir free energy of a film (up to 0.3%) because the TE reflection coefficient at the boundary surface between a dielectric film and vacuum vanishes at zero frequency.…”

Section: Dielectric Films Deposited On Metallic Platementioning

confidence: 99%

“…It must be emphasized that in all precise experiments on measuring the absolute values of the Casimir force [29,30,31,32,33,34,35] (or force gradients) at separations below 1 µm theoretical predictions of the Lifshitz theory using the Drude and the plasma models differ by only a few percent. The difference in theoretical predictions by up to a factor of two is reached only at separations of a few micrometers, where the absolute value of the measured force becomes too small.…”

Section: Introductionmentioning

confidence: 99%

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Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Mostepanenko¹

2017

J. Phys.: Condens. Matter

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Abstract. The Casimir free energy of dielectric films, both free-standing in vacuum and deposited on metallic or dielectric plates, is investigated. It is shown that the values of the free energy depend considerably on whether the calculation approach used neglects or takes into account the dc conductivity of film material. We demonstrate that there are the material-dependent and universal classical limits in the former and latter cases, respectively. The analytic behavior of the Casimir free energy and entropy for a free-standing dielectric film at low temperature is found. According to our results, the Casimir entropy goes to zero when the temperature vanishes if the calculation approach with neglected dc conductivity of a film is employed. If the dc conductivity is taken into account, the Casimir entropy takes the positive value at zero temperature, depending on the parameters of a film, i.e., the Nernst heat theorem is violated. By considering the Casimir free energy of SiO 2 and Al 2 O 3 films deposited on a Au plate in the framework of two calculation approaches, we argue that physically correct values are obtained by disregarding the role of dc conductivity. A comparison with the well known results for the configuration of two parallel plates is made. Finally, we compute the Casimir free energy of SiO 2 , Al 2 O 3 and Ge films deposited on high-resistivity Si plates of different thicknesses and demonstrate that it can be positive, negative and equal to zero. The effect of illumination of a Si plate with laser light is considered. Possible applications of the obtained results to thin films used in microelectronics are discussed.

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Section: Dielectric Films Deposited On Metallic Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Mostepanenko¹

2017

J. Phys.: Condens. Matter

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“…[43,44] the gradient of the Casimir force was measured between a Ni-coated hollow glass sphere of R = 61.71 µm radius and ∆ g s = 5 µm thickness and a Ni-coated Si disc. As in the experiments of Refs.…”

Section: Constraints From Experiments With Two Nickel Test Bodiesmentioning

confidence: 99%

“…In three experiments performed by means of AFM [40][41][42][43][44] the gradient of the Casimir force was measured between spheres of about 50 µm radius and discs of approximately 5 mm radius made of different materials. Taking into account that the characteristic size of the sphere is by a factor of 100 smaller than that of the disc, all points of the sphere can be considered as situated above the disc center (i.e., the disc area can be considered as infinitely large).…”

Section: Gradient Of the Force Between A Sphere And A Plate Due Tmentioning

confidence: 99%

“…We derive constraints following from the experiments with an Aucoated sphere and an Au-coated plate [40,41], with an Au-coated sphere and a Ni-coated plate [42], and, finally, from the experiment with two Ni-coated test bodies [43,44]. For this purpose, we calculate the gradient of the additional force arising between a sphere and a plate due to two-axion exchange taking into account the layer structure of both test bodies used in each experiment.…”

Section: Introductionmentioning

confidence: 99%

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Stronger constraints on an axion from measuring the Casimir interaction by means of a dynamic atomic force microscope

2014

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We calculate the additional force due to two-axion exchange acting in a sphere-disc geometry, used in experiments on measuring the gradient of the Casimir force. With this result, stronger constraints on the pseudoscalar coupling constants of an axion and axion-like particles to a proton and a neutron are obtained over the wide range of axion masses from 3 × 10 −5 to 1 eV. Among the three experiments with Au-Au, Au-Ni and Ni-Ni boundary surfaces performed by means of dynamic atomic force microscope, major improving is achieved for the experiment with Au-Au test bodies. Here, the constraints obtained are stronger up to a factor of 170, as compared to the previously known ones. The largest strengthening holds for the axion mass 0.3 eV.

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Negative entropies in Casimir and Casimir‐Polder interactions

Milton

Kalauni

et al. 2016

Fortschritte der Physik

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It has been increasingly becoming clear that Casimirand Casimir-Polder entropies may be negative in certain regions of temperature and separation. In fact, the occurrence of negative entropy seems to be a nearly ubiquitous phenomenon. This is most highlighted in the quantum vacuum interaction of a nanoparticle with a conducting plate or between two nanoparticles. It has been argued that this phenomenon does not violate physical intuition, since the total entropy, including the self-entropies of the plate and the nanoparticle, should be positive. New calculations, in fact, seem to bear this out at least in certain cases. The thermal Casimir puzzleFor 15 years there has been a controversy surrounding entropy in the Casimir effect. This is most famously centered around the issue of how to describe a real metal, in particular, the permittivity ε(ω) at zero frequency [1]. The latter determines the low-temperature and high temperature corrections to the free energy, and hence to the entropy. The issue involves how ω 2 ε(ω) behaves as ω → 0.Dissipation or finite conductivity implies this vanishes; this leads to a linear temperature dependence at low temperature, and a reduction of the high-temperature force. Most experiments [2-4], but not all [5], favor the nondissipative plasma model! For an overview of the status of both theory and experiment, see Ref.[6].The Drude model, and general thermodynamic and electrodynamic arguments, suggest that the transverse electric (TE) reflection coefficient at zero frequency for a good, but imperfect, metal plate should vanish. Careful calculations for lossy parallel plates show that at very low temperature the free energy approaches a constant quadratically in the temperature, thus forcing the entropy to vanish at zero temperature [7]. Thus, there is no violation of the third law of thermodynamics. However, there would persist a region at low temperature in which the entropy would be negative. This was not thought to be a problem, since the interaction Casimir free energy does not describe the entire system of the Casimir apparatus, whose total entropy must necessarily be positive. The physical basis for the negative entropy region remains somewhat mysterious. Here we address negative entropy arising from geometry. The interplay of geometry and material properties is further explored in Ref. [8].For some time it has been known that negative entropy regions can emerge geometrically. For example, when a perfectly conducting sphere is near a perfectly conducting plate, the entropy at room temperature can turn negative, with enhancement of the effect occurring for smaller spheres [9]. The occurrence of negative interaction entropies for a small sphere in front of a plane or another sphere is illustrated in Fig. 1 within the dipole and single-scattering approximation. Since the negative entropy region is enhanced by making the sphere small, this suggests that the phenomena be explored by considering the dipole approximation only. That is, we will examine point particles, atoms or nanopa...

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Erratum: Casimir interaction between two magnetic metals in comparison with nonmagnetic test bodies [Phys. Rev. B88, 155410 (2013)]

Cited by 49 publications

References 0 publications

Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Casimir free energy of dielectric films: classical limit, low-temperature behavior and control

Stronger constraints on an axion from measuring the Casimir interaction by means of a dynamic atomic force microscope

Negative entropies in Casimir and Casimir‐Polder interactions

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