A Monte Carlo approach for the bouncer model

Autor(es)

Diaz, Gabriel ^[1] ; Yoshida, Makoto ^[1] ; Leonel, Edson D. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physics Letters A; v. 381, n. 42, p. 3636-3640, NOV 13 2017.
• Citações Web of Science: 0

Resumo

A Monte Carlo investigation is made in a dissipative bouncer model to describe some statistical properties for chaotic dynamics as a function of the control parameters. The dynamics of the system is described via a two dimensional mapping for the variables velocity of the particle and phase of the moving wall at the instant of the impact. A small stochastic noise is introduced in the time of flight of the particle as an attempt to investigate the evolution of the system without the need to solve transcendental equations. We show that average values along the chaotic dynamics do not strongly depend on the noise size. It allows us to propose a Monte Carlo like simulation that lead to calculate average values for the observables with great accuracy and fast simulations. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 17/14414-2 - Investigação de escala em sistemas dinâmicos
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular