A Study of Mathematical Model of AFM with Casimir Force by Means of Averaging Method
| dc.contributor.author | Kurina, G. A. | |
| dc.contributor.author | Balthazar, J. M. [UNESP] | |
| dc.contributor.author | Ribeiro, M. A. | |
| dc.contributor.author | Tusset, A. M. | |
| dc.contributor.institution | 1 | |
| dc.contributor.institution | Federal Research Center “Computer Science and Control” of Russian Academy of Sciences | |
| dc.contributor.institution | Federal University of Technology - Paraná | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T20:05:46Z | |
| dc.date.issued | 2024-01-01 | |
| dc.description.abstract | The paper deals with a mathematical model of atomic force microscopy with a microcantilever containing an analysis tip. This model takes into account the Casimir force. The averaging method is applied to determine an asymptotic solution of the equation for the microcantilever tip displacement. Explicit expressions of problems for finding asymptotic solution of the fourth order are derived. The results of numerical experiment are given. | en |
| dc.description.affiliation | Voronezh State University Universitetskaya pl. 1 | |
| dc.description.affiliation | Federal Research Center “Computer Science and Control” of Russian Academy of Sciences, Vavilova ul., 44/2 | |
| dc.description.affiliation | Federal University of Technology - Paraná, R. Doutor Washington Subtil Chueire 330-Jardim Carvalho, PR | |
| dc.description.affiliation | São Paulo State University, av. Eng. Luís Edmundo Carrijo Coube, 14-01 - Vargem Limpa, SP | |
| dc.description.affiliationUnesp | São Paulo State University, av. Eng. Luís Edmundo Carrijo Coube, 14-01 - Vargem Limpa, SP | |
| dc.format.extent | 81-91 | |
| dc.identifier | http://dx.doi.org/10.1007/978-981-99-7958-5_6 | |
| dc.identifier.citation | Springer Proceedings in Physics, v. 301, p. 81-91. | |
| dc.identifier.doi | 10.1007/978-981-99-7958-5_6 | |
| dc.identifier.issn | 1867-4941 | |
| dc.identifier.issn | 0930-8989 | |
| dc.identifier.scopus | 2-s2.0-85187682885 | |
| dc.identifier.uri | https://hdl.handle.net/11449/306256 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Springer Proceedings in Physics | |
| dc.source | Scopus | |
| dc.title | A Study of Mathematical Model of AFM with Casimir Force by Means of Averaging Method | en |
| dc.type | Trabalho apresentado em evento | pt |
| dspace.entity.type | Publication |