Saddle points and rare collisions under scaling approach in a Fermi accelerator with two nonlinear terms

External sources

http://dx.doi.org/10.1016/j.physa.2012.12.012

External sources

http://dx.doi.org/10.1016/j.physa.2012.12.012

Date

Authors

De Oliveira, Juliano A.

Leonel, Edson D.

Publisher

Elsevier

Type

Article

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Acesso restrito

External sources

http://dx.doi.org/10.1016/j.physa.2012.12.012

External sources

http://dx.doi.org/10.1016/j.physa.2012.12.012

Abstract

Rare collisions of a classical particle bouncing between two walls are studied. The dynamics is described by a two-dimensional, nonlinear and area-preserving mapping in the variables velocity and time at the instant that the particle collides with the moving wall. The phase space is of mixed type preventing diffusion of the particle to high energy. Successive and therefore rare collisions are shown to have a histogram of frequency which is scaling invariant with respect to the control parameters. The saddle fixed points are studied and shown to be scaling invariant with respect to the control parameters too. © 2012 Elsevier B.V. All rights reserved.

Keywords

Fermi accelerator , Rare collisions , Saddle fixed points , Area-preserving mappings , Classical particle , Control parameters , Fixed points , High energy , Mixed type , Nonlinear terms , Phase spaces , Saddle point , Physics , Phase space methods

Language

English

Citation

Physica A: Statistical Mechanics and its Applications, v. 392, n. 7, p. 1586-1592, 2013.

URI

http://hdl.handle.net/11449/74939

Collections

Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas

Units

Unit

Rio Claro, Instituto de Geociências e Ciências Exatas - IGCE

IGCE

Campus: Rio Claro

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