Derivative-expansion approach to the interaction between close surfaces
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 diff...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v89_n6_p_Fosco |
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todo:paper_10502947_v89_n6_p_Fosco2023-10-03T16:00:19Z Derivative-expansion approach to the interaction between close surfaces Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Mathematical models Physics Formal derivation Proximity force approximation Expansion 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. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v89_n6_p_Fosco |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Mathematical models Physics Formal derivation Proximity force approximation Expansion |
| spellingShingle |
Mathematical models Physics Formal derivation Proximity force approximation Expansion Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Derivative-expansion approach to the interaction between close surfaces |
| topic_facet |
Mathematical models Physics Formal derivation Proximity force approximation Expansion |
| description |
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. |
| format |
JOUR |
| author |
Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. |
| author_facet |
Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. |
| author_sort |
Fosco, C.D. |
| title |
Derivative-expansion approach to the interaction between close surfaces |
| title_short |
Derivative-expansion approach to the interaction between close surfaces |
| title_full |
Derivative-expansion approach to the interaction between close surfaces |
| title_fullStr |
Derivative-expansion approach to the interaction between close surfaces |
| title_full_unstemmed |
Derivative-expansion approach to the interaction between close surfaces |
| title_sort |
derivative-expansion approach to the interaction between close surfaces |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v89_n6_p_Fosco |
| work_keys_str_mv |
AT foscocd derivativeexpansionapproachtotheinteractionbetweenclosesurfaces AT lombardofc derivativeexpansionapproachtotheinteractionbetweenclosesurfaces AT mazzitellifd derivativeexpansionapproachtotheinteractionbetweenclosesurfaces |
| _version_ |
1807323720975384576 |