[Special day and location] Scaling properties and suppression of Fermi acceleration in time dependent billiards

Applied and Computational Mathematics Seminar
Wednesday, October 14, 2009 - 1:00pm for 8 hours (full day)
Skiles 269
Edson Denis Leonel – Universidade Estadual Paulista, Rio Claro, Brazil
Maria Westdickenberg
Fermi acceleration is a phenomenon where a classical particle canacquires unlimited energy upon collisions with a heavy moving wall. Inthis talk, I will make a short review for the one-dimensional Fermiaccelerator models and discuss some scaling properties for them. Inparticular, when inelastic collisions of the particle with the boundaryare taken into account, suppression of Fermi acceleration is observed.I will give an example of a two dimensional time-dependent billiardwhere such a suppression also happens.