Casimir energies of spherical plasma shells

Barton, G.

doi:10.1088/0305-4470/37/3/032

Cited by 123 publications

(139 citation statements)

References 36 publications

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“…For definiteness consider the case that the energy density is positive. If we think of the entire system as enclosed in a large stationary box, then a displacement of the test boundary to x > 0 would enlarge the volume of space occupied by the energy density (10), and hence the total energy would increase. This energy change must come from the force …”

Section: Flat Hard Wallsmentioning

confidence: 99%

Energy Density and Pressure in Power-Wall Models

Fulling

Milton

Wagner

2012

Int. J. Mod. Phys. Conf. Ser.

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A finite ultraviolet cutoff near a reflecting boundary yields a stress tensor that violates the basic energy-pressure relation. Therefore, a "soft" wall described by a power-law potential, which needs no ad hoc cutoff, is being investigated by the collaboration centered at Texas A&M University and the University of Oklahoma. Progress is reported here.Keywords: vacuum energy; stress tensor; boundary; soft wall. PACS numbers: 03.70.+k, 11.10.Gh Hard Walls: The Pressure Paradox Basic formalism and empty spaceWe model the electromagnetic vacuum-energy problem by a massless scalar field in three space dimensions, subjected to the Dirichlet boundary condition on the "conducting" boundaries. The vacuum energy can be calculated from a Green function, such as the "cylinder kernel", 1,2,3where the φ n are the normalized eigenfunctions with frequencies ω n . The classical formulas for the components of the vacuum expectation value of the stress-energy

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Section: Flat Hard Wallsmentioning

confidence: 99%

Energy Density and Pressure in Power-Wall Models

Fulling

Milton

Wagner

2012

Int. J. Mod. Phys. Conf. Ser.

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“…In the framework of the hydrodynamic model of the electronic structure of graphene they can be presented in the form [31][32][33][34][35] …”

Section: Two Models For Interaction Of Atoms With Graphenementioning

confidence: 99%

“…Graphene was considered as an infinitesimally thin positively charged flat sheet, carring a homogeneous fluid with some mass and negative charge densities (the hydrodynamic model). The interaction of the electromagnetic oscillations with such a sheet was described by the special reflection coefficients [31,32].…”

Section: Introductionmentioning

confidence: 99%

Comparison of hydrodynamic and Dirac models of dispersion interaction between graphene and H,He∗, or Na atoms

et al. 2010

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The van der Waals and Casimir-Polder interaction of different atoms with graphene is investigated using the Dirac model which assumes that the energy of quasiparticles is linear with respect to the momentum. The obtained results for the van der Waals coefficients of hydrogen atoms and molecules and atoms of metastable He * and Na as a function of separation are compared with respective results found using the hydrodynamic model of graphene. It is shown that, regardless of the value of the gap parameter, the Dirac model leads to much smaller values of the van der Waals coefficients than the hydrodynamic model. The experiment on quantum reflection of metastable He * and Na atoms on graphene is proposed which is capable to discriminate between the two models of the electronic structure of graphene. In this respect the parameters of the phenomenological potential for both these atoms interacting with graphene described by different models are determined.

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“…For sphere we use plasma (hydrodynamic) model [20,21]: the sphere is two-dimensional conductive surface with finite conductivity. All information about sphere is encoded in one parameter Ω = 4πne 2 /mc 2 with dimension of wave number.…”

Section: Resultsmentioning

confidence: 99%

The thermal Casimir–Polder interaction of an atom with a spherical plasma shell

Khusnutdinov¹

2012

J. Phys. A: Math. Theor.

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Abstract. The van der Waals and Casimir-Polder interaction energy of an atom with an infinitely thin sphere with finite conductivity is investigated in the framework of the hydrodynamic approach at finite temperature. This configuration models the real interaction of an atom with fullerene. The Lifshitz approach is used to find the free energy. We find the explicit expression for the free energy and perform the analysis of it for i) high and low temperatures, ii) large radii of sphere and ii) short separation between an atom and sphere. At low temperatures the thermal part of the free energy approaches zero as forth power of the temperature while for high temperatures it is proportional to the first degree of the temperature. The entropy of this system is positive for small radii of sphere and it becomes negative at low temperatures and for large radii of the sphere.

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Casimir energies of spherical plasma shells

Cited by 123 publications

References 36 publications

Energy Density and Pressure in Power-Wall Models

Energy Density and Pressure in Power-Wall Models

Comparison of hydrodynamic and Dirac models of dispersion interaction between graphene and H,He∗, or Na atoms

The thermal Casimir–Polder interaction of an atom with a spherical plasma shell

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