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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Statistical description of multiple collisions in the Fermi-Ulam model

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Author(s):
da Costa, Diogo Ricardo [1] ; Silva, Mario R. [2] ; Leonel, Edson D. [3] ; Mendez-Bermudez, J. A. [4]
Total Authors: 4
Affiliation:
[1] Univ Estadual Ponta Grossa, Programa Posgrad Ciencias Fis, Campus Uvaranas, BR-84030000 Ponta Grossa, PR - Brazil
[2] Univ Estadual Paulista UNESP, Dept Estat Matemat Aplicada & Comp, BR-13506900 Rio Claro, SP - Brazil
[3] Univ Estadual Paulista UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[4] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
Total Affiliations: 4
Document type: Journal article
Source: Physics Letters A; v. 383, n. 25, p. 3080-3087, SEP 2 2019.
Web of Science Citations: 0
Abstract

The Fermi-Ulam model consists of a point particle colliding elastically between two hards walls, one is considered fixed and the other one oscillates periodically in time. Most investigations on this model are based on a map approach that, although it is extremely efficient from the computational point of view, ignores processes which are relevant for a thorough dynamical description. The map approach considers the so called static wall approximation. In this paper, by efficiently solving the exact Fermi-Ulam model, we statistically characterize multiple collisions with the moving wall (processes not considered in the static wall approximation) and prove that structures emerging from such collisions have fractal features exhibiting self-similar characteristics. (C) 2019 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 17/14414-2 - Scaling investigation in dynamical systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants