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Bordag, Michael
Publications (6 of 6) Show all publications
Bordag, M. & Nikolaev, V. (2010). First analytic correction beyond the proximity force approximation in the Casimir effect for the electromagnetic field in sphere-plane geometry. Physical Review D, 81(6), Article number 065011
Open this publication in new window or tab >>First analytic correction beyond the proximity force approximation in the Casimir effect for the electromagnetic field in sphere-plane geometry
2010 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 81, no 6, p. Article number 065011-Article in journal (Refereed) Published
Abstract [en]

We consider the vacuum energy for a configuration of a sphere in front of a plane, both obeying the conductor boundary condition, at small separation. For the separation becoming small we derive the first next-to-leading order of the asymptotic expansion in the separation-to-radius ratio epsilon. This correction is of order epsilon. Opposite to the scalar cases it contains also contributions proportional to logarithms in first and second order, epsilon ln epsilon and epsilon(ln epsilon)(2). We compare this result with the available findings of numerical and experimental approaches.

Place, publisher, year, edition, pages
College Park, MD: American Physical Society, 2010
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18901 (URN)10.1103/PhysRevD.81.065011 (DOI)000276195700094 ()2-s2.0-77951610190 (Scopus ID)
Available from: 2012-06-26 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
Bordag, M. & Nikolaev, V. (2009). Beyond proximity force approximation in the casimir effect. Paper presented at 7th Alexander Friedmann International Seminar on Gravitations and Cosmology/Satellite Symposium on 60 Years of the Casimir Efffect, JUN 30-JUL 04, 2008, Joao Pessoa, BRAZIL. International Journal of Modern Physics A, 24(8-9), 1743-1747
Open this publication in new window or tab >>Beyond proximity force approximation in the casimir effect
2009 (English)In: International Journal of Modern Physics A, ISSN 0217-751X, E-ISSN 1793-656X, Vol. 24, no 8-9, p. 1743-1747Article in journal (Refereed) Published
Abstract [en]

We compare the analytical and numerical results for the Casimir force for the configuration of a plane and a cylinder in front of a plane. While for Dirichlet boundary conditions on both, plane and sphere or cylinder, agreement is found, for Neumann boundary conditions on either the plane or one of the two, cylinder or sphere, disagreement is found. This holds, for a sphere, also for different boundary conditions on the interacting surfaces. From recent, new numerical results for the cylinder, a general appearance of logarithmic contributions beyond PFA can be predicted.

Place, publisher, year, edition, pages
Singapore: World Scientific, 2009
Keywords
Casimir effect, proximity force approximation
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18910 (URN)10.1142/S0217751X1004944X (DOI)000265092600051 ()2-s2.0-65249161054 (Scopus ID)
Conference
7th Alexander Friedmann International Seminar on Gravitations and Cosmology/Satellite Symposium on 60 Years of the Casimir Efffect, JUN 30-JUL 04, 2008, Joao Pessoa, BRAZIL
Available from: 2012-06-26 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
Bordag, M. & Nikolaev, V. (2009). The vacuum energy for two cylinders with one increasing in size. Journal of Physics A: Mathematical and Theoretical, 42(41), 415203
Open this publication in new window or tab >>The vacuum energy for two cylinders with one increasing in size
2009 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 42, no 41, p. 415203-Article in journal (Refereed) Published
Abstract [en]

We consider the vacuum energy for the configuration of two cylinders and obtain its asymptotic expansion if the radius of one of these cylinders becomes large while the radius of the other one and their separation are kept fixed. We calculate explicitly the next-to-leading order correction to the vacuum energy for the radius of the other cylinder becoming large or small.

Place, publisher, year, edition, pages
Bristol: Institute of Physics (IOP), 2009
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18909 (URN)10.1088/1751-8113/42/41/415203 (DOI)000270303300011 ()2-s2.0-70449562843 (Scopus ID)
Available from: 2012-06-26 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
Bordag, M. & Nikolaev, V. (2008). Casimir force for a sphere in front of a plane beyond proximity force approximation. Paper presented at 8th Workshop on Quantum Field Theory Under the Influence of External Conditions, Sep 17-21, 2007, Leipzig, Germany. Journal of Physics A: Mathematical and Theoretical, 41(16), 164002
Open this publication in new window or tab >>Casimir force for a sphere in front of a plane beyond proximity force approximation
2008 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 41, no 16, p. 164002-Article in journal (Refereed) Published
Abstract [en]

For the configuration of a sphere in front of a plane, we calculate the first two terms of the asymptotic expansion for small separation of the Casimir force. We consider both Dirichlet and Neumann boundary conditions.

Place, publisher, year, edition, pages
Bristol: Institute of Physics Publishing (IOPP), 2008
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18842 (URN)10.1088/1751-8113/41/16/164002 (DOI)000254778400003 ()2-s2.0-42649109024 (Scopus ID)
Conference
8th Workshop on Quantum Field Theory Under the Influence of External Conditions, Sep 17-21, 2007, Leipzig, Germany
Available from: 2012-07-02 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
Bordag, M. (2007). Interaction of a charge with a thin plasma sheet. Physical Review D. Particles and fields, 76(6), 065011
Open this publication in new window or tab >>Interaction of a charge with a thin plasma sheet
2007 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 76, no 6, p. 065011-Article in journal (Refereed) Published
Abstract [en]

The interaction of the electromagnetic field with a two-dimensional plasma sheet intended to describe the pi-electrons of a carbon nanotube or a C-60 molecule is investigated. By first integrating out the displacement field of the plasma or the electromagnetic field, different representations for quantities like the Casimir energy are derived which are shown to be consistent with one another. Starting from the covariant gauge for the electromagnetic field, it is shown that the matching conditions to which the presence of the plasma sheet can be reduced are different from the commonly used ones. The difference in the treatments does not show up in the Casimir force between two parallel sheets, but it is present in the Casimir-Polder force between a charge or a neutral atom and a sheet. At once, since the plasma sheet is a regularization of the conductor boundary conditions, this sheds light on the difference in physics found earlier in the realization of conductor boundary conditions as "thin" or "thick" boundary conditions in Phys. Rev. D 70, 085010 (2004).

Place, publisher, year, edition, pages
College Park, MD: American Physical Society, 2007
Keywords
Electrodynamics, Planes, Energy
National Category
Physical Sciences
Identifiers
urn:nbn:se:hh:diva-3361 (URN)10.1103/PhysRevD.76.065011 (DOI)000249786900087 ()2-s2.0-34748861664 (Scopus ID)
Available from: 2009-12-18 Created: 2009-12-01 Last updated: 2018-03-23Bibliographically approved
Bordag, M., Ribayrol, A., Conache, G., Fröberg, L. E., Gray, S., Samuelson, L., . . . Pettersson, H. (2007). Shear stress measurements on InAs nanowires by AFM manipulation. Small, 3(8), 1398-1401
Open this publication in new window or tab >>Shear stress measurements on InAs nanowires by AFM manipulation
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2007 (English)In: Small, ISSN 1613-6810, Vol. 3, no 8, p. 1398-1401Article in journal (Refereed) Published
Abstract [en]

On an upward curve? The curvature of an elastically deformed nanowire pinned to a flat surface contains information about the maximum static friction force, and hence the shear stress, between the nanowire and the surface. Here, InAs nanowires are bent in a controlled manner using the tip of an atomic force microscope (see image). The shear stress can be obtained from a simple analysis according to the standard theory of elasticity.

Place, publisher, year, edition, pages
Weinheim: Wiley-VCH Verlagsgesellschaft, 2007
Keywords
atomic force microscopy, deformation, indium arsenide, nanowires
National Category
Physical Sciences
Identifiers
urn:nbn:se:hh:diva-3362 (URN)10.1002/smll.200700052 (DOI)000248641600017 ()2-s2.0-34547850195 (Scopus ID)
Available from: 2009-12-18 Created: 2009-12-01 Last updated: 2018-04-03Bibliographically approved

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