ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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               ELTE Institute of Physics
            SEMINARS IN STATISTICAL PHYSICS
            
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       NEW LOCATION FOR THIS SEMESTER: Room É 4.95
   
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          Wednesday, March 23, 2011, 11 am.



                Jefferson S. E. Portela

  Max Planck Institute for the Physics of Complex Systems,
                    Dresden, Germany

             "Dynamical systems with leaks"


A large class of problems have been addressed by relating the
properties of a closed dynamical system, where the main dynamical
properties are well defined asymptotically in time, to the relevant
properties of its open, leaked counterpart, where typically all
trajectories eventually escape and the relevant quantities are
dependent on the escape procedure, as described by transient chaos
theory.
Using a billiard -- a system of point particles moving freely inside a
bounded area and colliding specularly with its boundary -- we
illustrate the effects of a leak, emphasizing the dependence of the
orbits decay on the leak characteristics.
Billiards model a number of relevant physical systems, such as optical
microcavities and wave/quantum-chaos systems, and also are, due to
their symmetries, particularly convenient for numerical simulation and
visualization purposes. We consider the family of limacon / Robnik
billiards, defined by limacon curves ($\rho(\phi) = 1 +
\varepsilon \cos(\phi)$, in polar coordinates), which has already been
extensively studied in both its classical and quantum versions.

                        Room 4.95 

  1117 Budapest, Pázmány P. sétány 1/A (Northern Block)

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