title: Transport of chaotic trajectories from regions distant from or near to structures of regular motion of the Fermi-Ulam model.
abstract: The chaotic portion of phase space of the simplified Fermi-Ulam model is studied under the context of transport of trajectories in two scenarios: (i) the trajectories are originated from a region distant from the islands of regular motion and are transported to a region located at a high portion of phase space and (ii) the trajectories are originated from chaotic regions around the islands of regular motion and are transported to other regions around islands of regular motion. The transport is investigated in terms of the observables histogram of transport and survival probability. We show that the histogram curves are scaling invariant and we organize the survival probability curves in four kinds of behavior, namely (a) transition from exponential decay to power law decay, (b) transition from exponential decay to stretched exponential decay, (c) transition from an initial fast exponential decay to a slower exponential decay, and (d) a single exponential decay. We show that, depending on choice of the regions of origin and destination, the transport process is weakly affected by the stickiness of trajectories around islands of regular motion.
authors.affiliation: Departamento de Física e Matemática, UFSJ, Univ. Federal de São João del Rei, Rod. MG 443, Km 7, Fazenda do Cadete, 36420-000 Ouro Branco, MG, Brazil.
authors.forename: Nilson B
authors.initials: NB
authors.lastname: de Faria
authors.affiliation: Departamento de Física e Matemática, UFSJ, Univ. Federal de São João del Rei, Rod. MG 443, Km 7, Fazenda do Cadete, 36420-000 Ouro Branco, MG, Brazil.
authors.forename: Daniel S
authors.initials: DS
authors.lastname: Tavares
authors.affiliation: Departamento de Física e Matemática, UFSJ, Univ. Federal de São João del Rei, Rod. MG 443, Km 7, Fazenda do Cadete, 36420-000 Ouro Branco, MG, Brazil.
authors.forename: Wenderson C S
authors.initials: WC
authors.lastname: de Paula
authors.affiliation: Departamento de Física, UNESP, Univ. Estadual Paulista, and Av. 24A, 1515 Bela Vista, 13506-900 Rio Claro, SP, Brazil.
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel
authors.affiliation: Departamento de Física e Matemática, UFSJ, Univ. Federal de São João del Rei, Rod. MG 443, Km 7, Fazenda do Cadete, 36420-000 Ouro Branco, MG, Brazil.
authors.forename: Denis G
authors.initials: DG
authors.lastname: Ladeira