Statistical properties of time-dependent systems

Date

Sep 2, 2011

Time

11:00 AM - 12:00 PM

Speaker

Diego Fregolente M. de Oliveira

Affiliation

Univ. of Maribor, Slovenia

Language

en

Main Topic

Physik

Other Topics

Physik

Host

Eduardo Altmann

Description

We study some dynamical properties of time dependent systems. It is well known that the structure of the phase space depends on the individual characteristics of each system. Here, we consider the two types, namely, one integrable (elliptical billiard [1,2]) and one mixed (Standard map [3]). Our main goal is to understand and describe the behaviour of the particle’s average velocity (and hence its energy) as a function of the number of collisions considering both, the conservative as well as the dissipative dynamics. For the dissipative case we consider two kinds of dissipation, namely, collisional dissipation and in-flight dissipation. Our results confirm that unlimited energy growth is observed for the non-dissipative case in the three cases. However, when dissipation is introduced via inelastic collisions or in-flight dissipation, the scenario changes and the unlimited energy growth is suppressed, thus leading to a phase transition from unlimited to limited energy growth. The behaviour of the average velocity is described using scaling arguments. Finally, we propose a new universal empirical function to describe this scaling behavior with only one parameter left, namely the acceleration exponent. References [1] Oliveira, DFM, Robnik, M 2011 Phys. Rev. E, 83 026202. [2] Oliveira, DFM, Robnik, M 2011 accepted for publication International Journal of Bifurcation and Chaos. (arXiv:1103.6223) [3] Oliveira, DFM, Robnik, M, Leonel, ED 2011 Submitted to Phys Rev. Lett.. (arXiv:1102.2266)

Last modified: Sep 2, 2011, 10:03:25 AM