Casimir's entropy

Revzen, M.; Opher, R.; Opher, M.; Mann, A.

doi:10.1088/0305-4470/30/22/017

Cited by 31 publications

(34 citation statements)

References 11 publications

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“…This agrees with results found previously in [26] and [27]. The Casimir energy E(T ) itself tends to zero at high temperatures.…”

Section: Introductionsupporting

confidence: 92%

The finite-temperature Casimir effect for a dilute ball satisfying ϵµ = 1

Brevik¹,

Yousef²

2000

J. Phys. A: Math. Gen.

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The finite temperature Casimir free energy is calculated for a dielectric ball of radius a embedded in an infinite medium. The condition ǫµ = 1 is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple "square" dispersion relation with an abrupt cutoff at imaginary frequencyω = ω0, the high temperature Casimir free energy to be negative and proportional to x0 ≡ ω0a. Also, a physically more realistic dispersion relation involving spatial dispersion is considered, and is shown to lead to comparable results.

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“…This agrees with results found previously in [26] and [27]. The Casimir energy E(T ) itself tends to zero at high temperatures.…”

Section: Introductionsupporting

confidence: 92%

The finite-temperature Casimir effect for a dilute ball satisfying ϵµ = 1

Brevik¹,

Yousef²

2000

J. Phys. A: Math. Gen.

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“…The existence of a geometrical temperatureindependent Casimir entropy for like boundary conditions as given in (31) agrees with the result reported by Revzen, Opher, Opher and Mann for the case of two conducting parallel plates. [23] However, the absence of such an entropy for unlike boundary conditions is in contrast to the temperature-independent Casimir entropy reported by da Silva, Matos Neto, Pacido, Revzen, and Santana for the case two parallel plates, one of which is conducting and one of which is highly permeable. [17] VI.…”

Section: A Entropy Changes In the High-temperature Limitmentioning

confidence: 73%

Casimir forces and boundary conditions in one dimension: Attraction, repulsion, Planck spectrum, and entropy

Boyer

2003

American Journal of Physics

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Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension where the physical ideas are transparent and the calculations allow easy numerical evaluation. The calculations show strong dependence upon fixed-or free-end (Dirichlet or Neumann) boundary conditions for waves on a one-dimensional string, analogous to infinitely-conducting or infinitely-permeable materials for electromagnetic waves. 1) Due to zero-point fluctuations, a partition in a one-dimensional box is found to be attracted to the walls if the wave boundary conditions are alike for the partition and the walls, but is repelled if the conditions are different.2) The use of Casimir energies in the presence of zero-point radiation introduces a natural maximum-entropy principle which is satisfied only by the Planck spectrum for both like and unlike boundary conditions between the box and partition.3)The one-dimensional Casimir forces increase or decrease with increasing temperature depending upon like or unlike boundary conditions. The Casimir forces are attractive and increasing with temperature for like boundary conditions, but are repusive and decreasing with temperature for unlike boundary conditions. 4) In the high-temperature limit, there is a temperature-independent Casimir entropy for like boundary conditions, but a vanishing Casimir entropy for unlike boundary conditions. These one-dimensional results have counterparts for electromagnetic Casimir forces in three dimensions.

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“…Actually, the effect of temperature on the interaction between the conducting parallel plates may be significant for separations greater than 3µm [38,39,40,41,42,43]. For this physical set-up of plates, the full analysis of the thermal energy-momentum tensor of the electromagnetic field was carried out by Brown and Maclay [44], performing the calculation of the Casimir free-energy by using the Green's function (the local formulation)…”

Section: Introductionmentioning

confidence: 99%

Thermofield dynamics and Casimir effect for fermions

et al. 2005

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A generalization of the Bogoliubov transformation is developed to describe a space compactified fermionic field. The method is the fermionic counterpart of the formalism introduced earlier for bosons (J. C. da Silva, A. Matos Neto, F.C. Khanna and A.E. Santana, Phys. Rev. A 66 (2002) 052101), and is based on the thermofield dynamics approach. We analyze the energy-momentum tensor for the Casimir effect of a free massless fermion field in a d-dimensional box at finite temperature. As a particular case the Casimir energy and pressure for the field confined in a 3-dimensional parallelepiped box are calculated. It is found that the attractive or repulsive nature of the Casimir pressure on opposite faces changes depending on the relative magnitude of the edges. We also determine the temperature at which the Casimir pressure in a cubic box changes sign and estimate its value when the edge of the cube is of the order of the confining lengths for baryons.

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Casimir's entropy

Cited by 31 publications

References 11 publications

The finite-temperature Casimir effect for a dilute ball satisfying ϵµ = 1

The finite-temperature Casimir effect for a dilute ball satisfying ϵµ = 1

Casimir forces and boundary conditions in one dimension: Attraction, repulsion, Planck spectrum, and entropy

Thermofield dynamics and Casimir effect for fermions

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