Exact zero-point interaction energy between cylinders

Mazzitelli, Francisco D.; Dalvit, Diego A. R.; Lombardo, Fernando C.

doi:10.1088/1367-2630/8/10/240

Cited by 85 publications

(105 citation statements)

References 37 publications

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“…The formula for the zero temperature Casimir energy can be derived using the multiple scattering or functional determinant approach [1][2][3][4][5][6][7][8][9] or the mode summation approach [22,23]. For a scalar field ϕ, it is given by…”

Section: Functional Determinant Representation For the Casimir Frmentioning

confidence: 99%

Casimir effect between two spheres at small separations

Teo

2012

Phys. Rev. D

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We consider the Casimir interaction between two spheres at zero and finite temperature, for both scalar fields and electromagnetic fields. Of particular interest is the asymptotic expansions of the Casimir free energy when the distance between the spheres is small. The scenario where one sphere is inside the other is discussed in detail. At zero temperature, we compute analytically the leading and the next-to-leading order terms from the functional determinant representation of the Casimir energy. As expected, the leading order term agrees with the proximity force approximation. The results for the next-to-leading order terms are new. In the limit where the radius of the outer sphere goes to infinity, the results for the sphere-plane geometry are reproduced. At finite temperature, the leading order term is computed and it is found to agree completely with the proximity force approximation in the medium and high temperature regions. For the scenario where two spheres are outside each other, analogous results are obtained. In the case of Dirichlet boundary conditions on both spheres, the next-to-leading order term of the zero temperature Casimir energy is found to agree with that computed recently using derivative expansion.

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Section: Functional Determinant Representation For the Casimir Frmentioning

confidence: 99%

Casimir effect between two spheres at small separations

Teo

2012

Phys. Rev. D

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“…[6,17,18,19]). In addition, the strategy of computing the Casimir torque for corrugated cylinders is discussed by Cavero-Pleaez in [6].…”

Section: Introductionmentioning

confidence: 99%

Casimir torque between two inhomogeneous semi-transparent concentric cylinders

2017

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Abstract. Motivated by the problem of Casimir energy, we investigate the idea of using inhomogeneity of surfaces instead of their corrugation, which leads to Casimir interaction between two inhomogeneous semi-transparent concentric cylinders. Using the multiple scattering method, we study the Casimir energy and torque between the cylinders with different potentials subjected to Dirichlet boundary conditions, both in weak and strong coupling regimes. We also extend our formalism to the case of two inhomogeneous dielectrics in a weak coupling regime.Casimir torque between two inhomogeneous semi-transparent concentric cylinders 2

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“…In the beginning of this century, we have observed a flourish in the Casimir research into new eras. In particular, there is a breakthrough in the understanding of how to compute the Casimir interaction between two nonplanar objects using multiple scattering or mode summation approach after the hardwork of a few groups of researchers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Ferminoic Casimir effect between spheres

Teo

2015

Phys. Rev. D

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We consider the Casimir interaction between two spheres corresponding to massless Dirac fields with MIT-bag boundary conditions. Using operator approach, we derive the TGTG-formula for the Casimir interaction energy between the two spheres. A byproduct is the explicit formula for the translation matrix that relates the fermionic spherical waves in different coordinate systems. In the large separation limit, it is found that the order of the Casimir interaction energy is L −5 , where L is the separation between the centers of the spheres. This order is intermediate between that of two Dirichlet spheres (of order L −3 ) and two Neumann spheres (of order L −7 ). In the small separation limit, we derive analytically the asymptotic expansion of the Casimir interaction energy up to the next-to-leading order term. The leading term agrees with the proximity force approximation. The result for the next-to-leading order term is compared to the corresponding results for scalar fields and electromagnetic fields.

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Exact zero-point interaction energy between cylinders

Cited by 85 publications

References 37 publications

Casimir effect between two spheres at small separations

Casimir effect between two spheres at small separations

Casimir torque between two inhomogeneous semi-transparent concentric cylinders

Ferminoic Casimir effect between spheres

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