Thermal correction to the Casimir force, radiative heat transfer, and an experiment

Bezerra, V. B.; Bimonte, Giuseppe; Klimchitskaya, G. L.; Mostepanenko, V. M.; Romero, C.

doi:10.1140/epjc/s10052-007-0400-x

Cited by 65 publications

(39 citation statements)

References 88 publications

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“…Mostepanenko and collaborators have insisted that this behavior is inconsistent with thermodynamics (the Nernst heat theorem), becaouse it would predict that the free energy has a term linear in T at low temperature. Such a behavior is predicted by the so-called modified ideal metal model and also, as advocated by these authors, when the Drude model is applied to the case of a metal with perfect crystal lattice without impurities, in which relaxation of conduction electrons is only due to scattering on thermal phonons [24,25,26]. Moreover, they assert that the precision Purdue experiments [18], performed at T = 300 K rule out the large thermal corrections predicted by the use of the Drude model with lattice imperfections taken into account [27].…”

Section: Introductionmentioning

confidence: 99%

Casimir energies: Temperature dependence, dispersion, and anomalies

Brevik

Milton

2008

Phys. Rev. E

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Assuming the conventional Casimir setting with two thick parallel perfectly conducting plates of large extent with a homogeneous and isotropic medium between them, we discuss the physical meaning of the electromagnetic field energy W disp when the intervening medium is weakly dispersive but nondissipative. The presence of dispersion means that the energy density contains terms of the form d[ωε(ω)]/dω and d[ωµ(ω)]/dω. We find that, as W disp refers thermodynamically to a non-closed physical system, it is not to be identified with the internal thermodynamic energy U following from the free energy F , or the electromagnetic energy W , when the last-mentioned quantities are calculated without such dispersive derivatives. To arrive at this conclusion, we adopt a model in which the system is a capacitor, linked to an external self-inductance L such that stationary oscillations become possible. Therewith the model system becomes a non-closed one. As an introductory step, we review the meaning of the nondispersive energies, F, U, and W . As a final topic, we consider an anomaly connected with local surface divergences encountered in Casimir energy calculations for higher spacetime dimensions, D > 4, and discuss briefly its dispersive generalization. This kind of application is essentially a generalization of the treatment of Alnes et al. [J. Phys. A: Math. Theor. 40, F315 (2007)] to the case of a medium-filled cavity between two hyperplanes.

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Section: Introductionmentioning

confidence: 99%

Casimir energies: Temperature dependence, dispersion, and anomalies

Brevik

Milton

2008

Phys. Rev. E

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“…The Casimir energy and the resulting forces have been investigated for different fields in different geometries and boundary conditions [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In some of these investigations the Casimir forces on the boundaries are also calculated.…”

Section: Introductionmentioning

confidence: 99%

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

2014

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We consider a fermion chirally coupled to a prescribed pseudoscalar field in the form of the soliton of the sine-Gordon model and calculate and investigate the Casimir energy and all of the relevant quantities, i.e. the spectrum of the states and the phase shifts, for each parity channel, separately. We present and use a simple prescription to construct the simultaneous eigenstates of the Hamiltonian and parity in the continua from the scattering states. We also use a prescription we had introduced earlier to calculate unique expressions for the phase shifts and check their consistency with both the weak and the strong forms of the Levinson theorem. In the graphs of the total and parity decomposed Casimir energies as a function of the parameters of the pseudoscalar field distinctive deformations appear whenever a fermionic bound state energy level with definite parity crosses the line of zero energy. However, the latter graphs show considerable sensitivity to the fine details of the shape of the background field which cannot be seen from the graph of the total Casimir energy. Finally, we consider a system consisting of a valence fermion in the ground state and find that the most energetically favorable configuration is the one with a soliton of winding number one, and this conclusion does not hold for each parity, separately.

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“…The vacuum polarization and the particle creation in the FRW cosmological models with trivial topology have been considered in a large number of papers (see [1,2,7] and references therein for early research and [12]- [23] and references therein for later developments). In particular, the vacuum expectation values of the field squared and the energy-momentum tensor in models with power law scale factors have been discussed in [14,15], [24]- [32] (see also [2]). The expectation value of the field squared is the crucial quantity in discussions of the topological mass generation as a result of one-loop quantum corrections and dynamical symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

Vacuum fluctuations and topological Casimir effect in Friedmann–Robertson–Walker cosmologies with compact dimensions

Saharian

Mkhitaryan

2010

Eur. Phys. J. C

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We investigate the Wightman function, the vacuum expectation values of the field squared and the energy-momentum tensor for a massless scalar field with general curvature coupling parameter in spatially flat Friedmann-Robertson-Walker universes with an arbitrary number of toroidally compactified dimensions. The topological parts in the expectation values are explicitly extracted and in this way the renormalization is reduced to that for the model with trivial topology. In the limit when the comoving lengths of the compact dimensions are very short compared to the Hubble length, the topological parts coincide with those for a conformal coupling and they are related to the corresponding quantities in the flat spacetime by standard conformal transformation. This limit corresponds to the adiabatic approximation. In the opposite limit of large comoving lengths of the compact dimensions, in dependence of the curvature coupling parameter, two regimes are realized with monotonic or oscillatory behavior of the vacuum expectation values. In the monotonic regime and for nonconformally and nonminimally coupled fields the vacuum stresses are isotropic and the equation of state for the topological parts in the energy density and pressures is of barotropic type. For conformal and minimal couplings the leading terms in the corresponding asymptotic expansions vanish and the vacuum stresses, in general, are anisotropic though the equation of state remains of barotropic type. In the oscillatory regime, the amplitude of the oscillations for the topological part in the expectation value of the field squared can be either decreasing or increasing with time, whereas for the energy-momentum tensor the oscillations are damping. The limits of validity of the adiabatic approximation are discussed.

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Thermal correction to the Casimir force, radiative heat transfer, and an experiment

Cited by 65 publications

References 88 publications

Casimir energies: Temperature dependence, dispersion, and anomalies

Casimir energies: Temperature dependence, dispersion, and anomalies

An investigation of the Casimir energy for a fermion coupled to the sine-Gordon soliton with parity decomposition

Vacuum fluctuations and topological Casimir effect in Friedmann–Robertson–Walker cosmologies with compact dimensions

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