A symmetry break in energy distribution and a biased random walk behavior causing unlimited diffusion in a two dimensional mapping

Diego F.M. Oliveira, Mario Roberto Silva and Edson D. Leonel

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 909-915

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.

Keywords: Fermi acceleration; Dissipation; Scaling (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711500480X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:909-915

DOI: 10.1016/j.physa.2015.05.065

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().