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Nikolaev, Vladimir
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Publications (7 of 7) Show all publications
Teo, L. P., Bordag, M. & Nikolaev, V. (2011). Corrections beyond the proximity force approximation. Physical Review D, 84(12), 125037
Open this publication in new window or tab >>Corrections beyond the proximity force approximation
2011 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 84, no 12, p. 125037-Article in journal (Refereed) Published
Abstract [en]

We recalculate the first analytic correction beyond proximity force approximation for a sphere in front of a plane for a scalar field and for the electromagnetic field. We use the method of Bordag and Nikolaev [J. Phys. A 41, 164002 (2008)]. We confirm their result for Dirichlet boundary conditions whereas we find a different one for Robin, Neumann and conductor boundary conditions. The difference can be traced back to a sign error. As a result, the corrections depend on the Robin parameter. Agreement is found with a very recent method of derivative expansion.

Place, publisher, year, edition, pages
College Park, MD: American Physical Society, 2011
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18874 (URN)10.1103/PhysRevD.84.125037 (DOI)000298667100010 ()2-s2.0-84855319717 (Scopus ID)
Available from: 2012-06-27 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
Bordag, M. & Nikolaev, V. (2010). Analytic corrections to the electromagnetic casimir interaction between a sphere and a plate at shortdistances. International Journal of Modern Physics A, 25(11), 2171-2176
Open this publication in new window or tab >>Analytic corrections to the electromagnetic casimir interaction between a sphere and a plate at shortdistances
2010 (English)In: International Journal of Modern Physics A, ISSN 0217-751X, E-ISSN 1793-656X, Vol. 25, no 11, p. 2171-2176Article in journal (Refereed) Published
Abstract [en]

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

Place, publisher, year, edition, pages
Singapore: World Scientific, 2010
Keywords
Casimir effect, proximity force approximation, conductor boundary conditions
National Category
Fluid Mechanics and Acoustics Computational Mathematics Mathematical Analysis
Identifiers
urn:nbn:se:hh:diva-35773 (URN)10.1142/S0217751X1004944X (DOI)000277614500001 ()2-s2.0-77952402283 (Scopus ID)
Funder
Swedish Research Council, 621-2006-3046
Available from: 2018-03-14 Created: 2018-03-14 Last updated: 2018-03-23Bibliographically approved
Bordag, M. & Nikolaev, V. (2010). Analytic corrections to the electromagnetic casimir interaction between a sphere and a plate at shortdistances. Paper presented at 9th Conference on Quantum Field Theory under the Influence of External Conditions, SEP 21-25, 2009, Oklahoma City, OK. International Journal of Modern Physics A, 25(11), 2171-2176
Open this publication in new window or tab >>Analytic corrections to the electromagnetic casimir interaction between a sphere and a plate at shortdistances
2010 (English)In: International Journal of Modern Physics A, ISSN 0217-751X, E-ISSN 1793-656X, Vol. 25, no 11, p. 2171-2176Article in journal (Refereed) Published
Abstract [en]

For the vacuum interaction of asphere in front of a plane,both obeying conductor boundary conditions, we consider the approximation of small separation. We derive the next-to-leading order of the asymptotic expansion in the separation-to-radius ratio epsilon. This correction is of order epsilon. In 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
Singapore: World Scientific, 2010
Keywords
Casmir effect, proximity force approximation, conductor boundary conditions
National Category
Engineering and Technology
Identifiers
urn:nbn:se:hh:diva-18900 (URN)10.1142/S0217751X1004944X (DOI)000277614500001 ()2-s2.0-77952402283 (Scopus ID)
Conference
9th Conference on Quantum Field Theory under the Influence of External Conditions, SEP 21-25, 2009, Oklahoma City, OK
Available from: 2012-06-26 Created: 2012-06-25 Last updated: 2018-03-22Bibliographically approved
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
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