Abstract:
The derivative-expansion approach to the calculation of the interaction between two surfaces is a generalization of the proximity force approximation, a technique in widespread use in different areas of physics. The derivative expansion has so far been applied to seemingly unrelated problems in different areas; it is our principal aim here to present the approach in its full generality. To that end, we introduce a unified setting, which is independent of any particular application, provide a formal derivation of the derivative expansion in that general setting, and study some of its properties. With a view toward the possible application of the derivative expansion to other areas, like nuclear and colloidal physics, we also discuss the relation between the derivative expansion and some time-honored uncontrolled approximations used in these contexts. By putting them under similar terms as in the derivative expansion, we believe that the path is open to the calculation of next-to-leading-order corrections also for these contexts. We also review some results obtained within the derivative expansion, by applying it to different concrete examples and highlighting some important points. © 2014 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Derivative-expansion approach to the interaction between close surfaces |
Autor: | Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D. |
Filiación: | Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
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Palabras clave: | Mathematical models; Physics; Formal derivation; Proximity force approximation; Expansion |
Año: | 2014
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Volumen: | 89
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Número: | 6
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.89.062120 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v89_n6_p_Fosco |
Referencias:
- Derjaguin, B.V., (1934) Koll. Z., 69, p. 155. , CPMSB6 0303-402X; 10.1007/BF01433225
- Derjaguin, B.V., Abrikosova, I.I., (1957) Sov. Phys. JETP, 3, p. 819
- Derjaguin, B.V., (1960) Sci. Am., 203, p. 47. , SCAMAC 0036-8733 10.1038/scientificamerican0760-47
- Israelachvili, J.N., (1992), Intermolecular and Surface Forces (Academic Press, London);; Milonni, P.W., (1994) The Quantum Vacuum, , (Academic Press, San Diego, CA);
- Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M., (2009) Advances in the Casimir Effect, , (Oxford University Press, Oxford)
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2011) Phys. Rev. D, 84, p. 105031. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.105031
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Phys. Rev. D, 85, p. 125037. , PRVDAQ 1550-7998 10.1103/PhysRevD.85.125037
- Bhattacharjee, S., Elimelech, M., Surface element integration: A novel technique for evaluation of DLVO interaction between a particle and a flat plate (1997) Journal of Colloid and Interface Science, 193 (2), pp. 273-285. , DOI 10.1006/jcis.1997.5076
- Dantchev, D., Valchev, G., (2012) J. Colloid Interface Sci., 372, p. 148. , JCISA5 0021-9797 10.1016/j.jcis.2011.12.040
- Blocki, J., Randrup, J., Swiatecki, W.J., Tsang, C.F., (1977) Ann. Phys. (NY), 105, p. 427. , APNYA6 0003-4916 10.1016/0003-4916(77)90249-4
- Blocki, J., Swiatecki, W.J., (1981) Ann. Phys. (NY), 132, p. 53. , APNYA6 0003-4916 10.1016/0003-4916(81)90268-2
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Phys. Rev. D, 86, p. 125018. , For an explicit calculation up to the fourth order in the context of Casimir physics, see,. PRVDAQ 1550-7998 10.1103/PhysRevD.86.125018
- Dutt, I., Puri, R.K., (2010) Phys. Rev. C, 81, p. 064609. , PRVCAN 0556-2813 10.1103/PhysRevC.81.064609
- 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
- Milton, K.A., Parashar, P., Wagner, J., Shajesh, K.V., (2011) Doing Physics: A Festschrift for Tom Erber, pp. 211-224. , in, edited by P. Johnson (IIT Press, Chicago), pp.
- Bimonte, G., Emig, T., Jaffe, R., Kardar, M., (2012) Europhys. Lett., 97, p. 50001. , EULEEJ 0295-5075 10.1209/0295-5075/97/50001
- Bimonte, G., Emig, T., Kardar, M., (2012) Appl. Phys. Lett., 100, p. 074110. , APPLAB 0003-6951 10.1063/1.3686903
- 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
- Bordag, M., Nikolaev, V., (2010) Phys. Rev. D, 81, p. 065011. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.065011
- Teo, L.P., Bordag, M., Nikolaev, V., (2011) Phys. Rev. D, 84, p. 125037. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.125037
- Lombardo, F.C., Mazzitelli, F.D., Villar, P.I., (2008) Phys. Rev. D, 78, p. 085009. , PRVDAQ 1550-7998 10.1103/PhysRevD.78.085009
- Canaguier-Durand, A., Maia Neto, P.A., Cavero-Pelaez, I., Lambrecht, A., Reynaud, S., (2009) Phys. Rev. Lett., 102, p. 230404. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.230404
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Ann. Phys., 327, p. 2050. , APNYA6 0003-4916 10.1016/j.aop.2012.04.006
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2013) Phys. Rev. A, 88, p. 062501. , PLRAAN 1050-2947 10.1103/PhysRevA.88.062501
- Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D., (2012) Phys. Rev. D, 86, p. 045021. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.045021
- Bimonte, G., Emig, T., (2012) Phys. Rev. Lett., 109, p. 160403. , PRLTAO 0031-9007 10.1103/PhysRevLett.109.160403
- Canaguier-Durand, A., Ingold, G.L., Jaekel, M.T., Lambrecht, A., Maia Neto, P.A., Reynaud, S., (2012) Phys. Rev. A, 85, p. 052501. , PLRAAN 1050-2947 10.1103/PhysRevA.85.052501
- L. P. Teo, arXiv:1404.1419 [hep-th]; Labbé-Laurent, S.M., Tröndle, M., Harnau, L., Dietrich, S., (2014) Soft Matter, 10, p. 2270. , references therein. 1744-683X 10.1039/c3sm52858h
Citas:
---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D.
(2014)
. Derivative-expansion approach to the interaction between close surfaces. Physical Review A - Atomic, Molecular, and Optical Physics, 89(6).
http://dx.doi.org/10.1103/PhysRevA.89.062120---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
"Derivative-expansion approach to the interaction between close surfaces"
. Physical Review A - Atomic, Molecular, and Optical Physics 89, no. 6
(2014).
http://dx.doi.org/10.1103/PhysRevA.89.062120---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
"Derivative-expansion approach to the interaction between close surfaces"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 89, no. 6, 2014.
http://dx.doi.org/10.1103/PhysRevA.89.062120---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. Derivative-expansion approach to the interaction between close surfaces. Phys Rev A. 2014;89(6).
http://dx.doi.org/10.1103/PhysRevA.89.062120