| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[2] Indiana Univ, Sch Informat & Comp, Ctr Complex Networks & Syst Res, Bloomington, IN 47408 - USA
[3] Univ Estadual Paulista, UNESP, Dept Estat Matemat Aplicada & Comp, BR-13506900 Rio Claro, SP - Brazil
[4] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 436, p. 909-915, OCT 15 2015. |
| Web of Science Citations: | 4 |
| Abstract | |
We have shown that a break of symmetry of the probability distribution and a biased random walk behavior lead the dynamics of a two dimensional mapping to present unlimited diffusion. The mapping considered describes the dynamics of the Fermi-Ulam model forced by a stochastic perturbation. For the conservative dynamics and considering a high initial velocity/energy, we explain the changeover from a plateau to a regime of unlimited diffusion using arguments based on a break of symmetry of the probability distribution of the velocity and a biased random walk behavior for the energy. For the dissipative case we end up with a scaling result using arguments of steady state so far obtained numerically in the literature before. The break of symmetry used here can be extended to many other different models to explain transitions from limited to unlimited growth, including billiard problems. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/01449-1 - Statistical and dynamical properties of time-dependent systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |