MECHANICS OF LIQUID CRYSTALS††This chapter was written jointly with L.P. Pitaevskii.

Lifshitz, E.M.; Kosevich, A. M.; Pitaevskiĭ, Lev P.

doi:10.1016/b978-0-08-057069-3.50013-9

Cited by 443 publications

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“…To calculate numerically the corrections to the results for ideal metal F (0) ss , F (0) dl due to the finite conductivity we use the tabulated data for the complex index of refraction n + ik as a function of frequency [230]. The values of dielectric permittivity along the imaginary axes can be expressed through Imε(ω) = 2nk with the help of dispersion relation [105] …”

Section: Computational Results Using the Optical Tabulated Datamentioning

confidence: 99%

“…It is well known [105] that Eqs. (4.25), (4.26) contain the limiting cases of both van der Waals and Casimir forces and energy densities.…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

“…(5.21) for the temperature Casimir force has a disadvantage as the l = 0 term in it is the product of zero by a divergent integral. This is usually eliminated [105] by one more change of variables z = 2aξ l p/c. Both this change and also (5.20) are, however, singular at l = 0.…”

Section: Two Semispacesmentioning

confidence: 99%

“…That is why the final results obtained in [108] are indeed correct. In [105] the energy density is not considered at all.…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

“…Usual boundary conditions on the boundary surfaces between different media were imposed on the Green's functions. To exclude the divergences, the values of all the Green's functions in vacuum were subtracted of their values in the dielectric media [105].…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

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New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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Section: Computational Results Using the Optical Tabulated Datamentioning

confidence: 99%

“…It is well known [105] that Eqs. (4.25), (4.26) contain the limiting cases of both van der Waals and Casimir forces and energy densities.…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

Section: Two Semispacesmentioning

confidence: 99%

“…That is why the final results obtained in [108] are indeed correct. In [105] the energy density is not considered at all.…”

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

Section: Two Semispaces and Stratified Mediamentioning

confidence: 99%

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New developments in the Casimir effect

2001

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Persistent current in normal metals

Mohanty

1999

Ann. Phys.

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We discuss the recent experiments on persistent current in metallic rings in the backdrop of low temperature decoherence. The observed size of the persistent current, typically on the order of the Thouless energy, e/τD, is much larger than the theoretical results, obtained with or without electron interaction. In considering the phenomenology of both decoherence and persistent current, usually observed in similar systems, we argue towards a dynamic role played by decoherence in the generation of a persistent current. A field-induced phase shift from near-equilibrium high-frequency fluctuations-which otherwise gives rise to decoherence-under certain conditions of periodicity and asymmetry due to disorder, is argued to induce a steady state diffusion current on the order of e/τD, comparable to the observed persistent current.

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Mass Transfer to Aerosols

Clement

2008

Environmental Chemistry of Aerosols

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MECHANICS OF LIQUID CRYSTALS††This chapter was written jointly with L.P. Pitaevskii.

Cited by 443 publications

References 0 publications

New developments in the Casimir effect

New developments in the Casimir effect

Persistent current in normal metals

Mass Transfer to Aerosols

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