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Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D. "Proximity force approximation for the Casimir energy as a derivative expansion" (2011) Physical Review D - Particles, Fields, Gravitation and Cosmology. 84(10)
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Abstract:

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled approximation. Indeed, its validity has only been tested in particular examples, by confronting its predictions with the next-to-leading-order (NTLO) correction extracted from numerical or analytical solutions obtained without using the PFA. In this article we show that the PFA and its NTLO correction may be derived within a single framework, as the first two terms in a derivative expansion. To that effect, we consider the Casimir energy for a vacuum scalar field with Dirichlet conditions on a smooth curved surface described by a function ψ in front of a plane. By regarding the Casimir energy as a functional of ψ, we show that the PFA is the leading term in a derivative expansion of this functional. We also obtain the general form of the corresponding NTLO correction, which involves two derivatives of ψ. We show, by evaluating this correction term for particular geometries, that it properly reproduces the known corrections to PFA obtained from exact evaluations of the energy. © 2011 American Physical Society.

Registro:

Documento: Artículo
Título:Proximity force approximation for the Casimir energy as a derivative expansion
Autor:Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D.
Filiación:Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina
Instituto Balseiro, Universidad Nacional de Cuyo, R8402AGP Bariloche, Argentina
Departamento de Física Juan José Giambiagi, FCEyN UBA, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Año:2011
Volumen:84
Número:10
DOI: http://dx.doi.org/10.1103/PhysRevD.84.105031
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v84_n10_p_Fosco

Referencias:

  • Milonni, P.W., (1994) The Quantum Vacuum, , Academic Press, San Diego
  • Bordag, M., Mohideen, U., Mostepanenko, V.M., (2001) Phys. Rep., 353, p. 1. , PRPLCM 0370-1573 10.1016/S0370-1573(01)00015-1
  • Milton, K.A., (2001) The Casimir Effect: Physical Manifestations of the Zero-Point Energy, , World Scientific, Singapore
  • Reynaud, S., (2001) C. R. Acad. Sci. Paris Ser. IV, 2, p. 1287. , CRSPEA 1251-8050
  • Milton, K.A., The Casimir effect: Recent controversies and progress (2004) Journal of Physics A: Mathematical and General, 37 (38), pp. R209-R277. , DOI 10.1088/0305-4470/37/38/R01, PII S0305447004819723
  • Lamoreaux, S.K., (2005) Rep. Prog. Phys., 68, p. 201. , RPPHAG 0034-4885 10.1088/0034-4885/68/1/R04
  • Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Advances in the Casimir Effect, , Oxford University Press, Oxford
  • Derjaguin, B.V., Abrikosova, I.I., (1957) Sov. Phys. JETP, 3, p. 819. , SPHJAR 0038-5646
  • Derjaguin, B.V., (1960) Sci. Am., 203, p. 47. , SCAMAC 0036-8733 10.1038/scientificamerican0760-47
  • Goldstone, J., Wilczek, F., (1981) Phys. Rev. Lett., 47, p. 986. , See for example:, PRLTAO 0031-9007 10.1103/PhysRevLett.47.986
  • Aitchison, I.J.R., Fraser, C.M., (1984) Ann. Phys. (N.Y.), 156, p. 1. , APNYA6 0003-4916 10.1016/0003-4916(84)90209-4
  • Aitchison, I.J.R., Fraser, C.M., (1985) Phys. Rev. D, 31, p. 2605. , PRVDAQ 0556-2821 10.1103/PhysRevD.31.2605
  • Emig, T., Hanke, A., Golestanian, R., Kardar, M., (2003) Phys. Rev. A, 67, p. 022114. , PLRAAN 1050-2947 10.1103/PhysRevA.67.022114
  • Emig, T., J. Stat. Mech., 2008, p. 04007. , 1742-5468 (10.1088/1742-5468/2008/04/P04007
  • Maia Neto, P.A., Lambrecht, A., Reynaud, S., (2008) Phys. Rev. A, 78, p. 012115. , PLRAAN 1050-2947 10.1103/PhysRevA.78.012115
  • Bulgac, A., Magierski, P., Wirzba, A., (2006) Phys. Rev. D, 73, p. 025007. , PRVDAQ 1550-7998 10.1103/PhysRevD.73.025007
  • Wirzba, A., Bulgac, A., Magierski, P., Casimir interaction between normal or superfluid grains in the Fermi sea (2006) Journal of Physics A: Mathematical and General, 39 (21), pp. 6815-6822. , DOI 10.1088/0305-4470/39/21/S84, PII S0305447006119198
  • Bordag, M., Nikolaev, V., (2008) J. Phys. A, 41, p. 164002. , 1751-8113 10.1088/1751-8113/41/16/164002
  • Bordag, M., Nikolaev, V., (2010) Phys. Rev. D, 81, p. 065011. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.065011
  • Gies, H., Langfeld, K., Moyaerts, L., J. High Energy Phys., 2003 (6), p. 018. , JHEPFG 1029-8479 10.1088/1126-6708/2003/06/018
  • Dalvit, D.A.R., Lombardo, F.C., Mazzitelli, F.D., Onofrio, R., Casimir force between eccentric cylinders (2004) Europhysics Letters, 67 (4), pp. 517-523. , DOI 10.1209/epl/i2004-10099-3
  • Emig, T., Jaffe, R.L., Kardar, M., Scardicchio, A., (2006) Phys. Rev. Lett., 96, p. 080403. , PRLTAO 0031-9007 10.1103/PhysRevLett.96.080403
  • Lombardo, F.C., Mazzitelli, F.D., Villar, P.I., (2008) Phys. Rev. D, 78, p. 085009. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.085009
  • Bordag, M., Casimir effect for a sphere and a cylinder in front of a plane and corrections to the proximity force theorem (2006) Physical Review D - Particles, Fields, Gravitation and Cosmology, 73 (12), p. 125018. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevD.73.125018&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevD.73.125018
  • Gies, H., Klingmuller, K., Casimir effect for curved geometries: Proximity-force-approximation validity limits (2006) Physical Review Letters, 96 (22), p. 220401. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.96.220401&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.96.220401
  • Rahi, S.J., Rodriguez, A.W., Emig, T., Jaffe, R.L., Johnson, S.G., Kardar, M., Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders (2008) Physical Review A - Atomic, Molecular, and Optical Physics, 77 (3), p. 030101. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.77.030101&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.77.030101
  • Rahi, S.J., Emig, T., Jaffe, R.L., Kardar, M., (2008) Phys. Rev. A, 78, p. 012104. , PLRAAN 1050-2947 10.1103/PhysRevA.78.012104
  • Decca, R.S., Fischbach, E., Klimchitskaya, G.L., Krause, D.E., Lopez, D., Mostepanenko, V.M., (2009) Phys. Rev. D, 79, p. 124021. , PRVDAQ 1550-7998 10.1103/PhysRevD.79.124021
  • Dalvit, D.A.R., Onofrio, R., (2009) Phys. Rev. D, 80, p. 064025. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.064025
  • Mazzitelli, F.D., Lombardo, F.C., Villar, P.I., (2009) J. Phys. Conf. Ser., 161, p. 012015. , 1742-6588 10.1088/1742-6596/161/1/012015
  • Blocki, J., Randrup, J., Swiatecki, W.J., Tsang, C.F., (1977) Ann. Phys. (N.Y.), 105, p. 427. , APNYA6 0003-4916 10.1016/0003-4916(77)90249-4

Citas:

---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D. (2011) . Proximity force approximation for the Casimir energy as a derivative expansion. Physical Review D - Particles, Fields, Gravitation and Cosmology, 84(10).
http://dx.doi.org/10.1103/PhysRevD.84.105031
---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Proximity force approximation for the Casimir energy as a derivative expansion" . Physical Review D - Particles, Fields, Gravitation and Cosmology 84, no. 10 (2011).
http://dx.doi.org/10.1103/PhysRevD.84.105031
---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Proximity force approximation for the Casimir energy as a derivative expansion" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 84, no. 10, 2011.
http://dx.doi.org/10.1103/PhysRevD.84.105031
---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. Proximity force approximation for the Casimir energy as a derivative expansion. Phys Rev D Part Fields Gravit Cosmol. 2011;84(10).
http://dx.doi.org/10.1103/PhysRevD.84.105031