QLS guest seminar - Tuesday, 10 September

[Quantitative Life Sciences]

   QLS Guest Seminar - Tuesday, 10 September 11h00am

ICTP, Central Area, 2nd floor, SISSA Building, via Beirut 2

Speaker: Edson Denis Leonel - Departmento de Fisica, UNESP - Univ 
Estadual Paulista, Sao Paulo, Brazil

Title: Chaotic diffusion for a family of area preserving mappings

Abstract:
The chaotic diffusion for a family of Hamiltonian mappings whose angles 
diverge in the limit of vanishingly action is investigated by using the 
solution of the diffusion equation. The system is described by a 
two-dimensional mapping for the variables action, $I$, and angle, 
$\theta$ and controlled by two control parameters: (i) $\epsilon$, 
controlling the nonlinearity of the system, particularly a transition 
from integrable for $\epsilon=0$ to non-integrable for $\epsilon\ne 0$ 
and; (ii) $\gamma$ denoting the power of the action in the equation 
defining the angle. For $\epsilon\ne 0$ the phase space is mixed and
chaos is present in the system leading to a finite diffusion in the 
action characterized by the solution of the diffusion equation. The 
analytical solution is then compared to the numerical simulations 
showing a remarkable agreement between the two procedures. For the 
chaotic dynamics far apart from the periodic islands, normal diffusion 
is observed. The scenario changes significantly when the dynamics passes 
near stability regions where anomalous diffusion dominates over the 
dynamics, stickiness is present and a temporary break of ergodicity is 
observed.

Indico: http://indico.ictp.it/event/9056/


Everyone interested is most welcome to attend!

-- 
Erica Sarnataro
Group Secretary
Quantitative Life Sciences
The Abdus Salam International Centre for Theoretical Physics (ICTP)
Trieste,  Italy
Tel. +39-040-2240623
www.ictp.it/research/qls.aspx
e-mail:qls at ictp.it