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Computational Intelligence

Scattering and Leapfrogging of Vortex Rings in Superfluids

on February 22, 2017 from 6:30 PM to 8:00 PM

Speaker Professor Ricardo Carretero , SDSU Dept of Mathematics and Statistics
Topic Info
Hosted bY IEEE COMPUTATIONAL INTELLIGENCE, PHOTONICS, AND COMPUTER SOCIETIES

In this talk we will explore the beautiful and complex world of vortex
rings. A vortex ring is formed when a vortex line (a "twister") is
looped back onto itself creating a close ring that carries vorticity.
In the first part of the presentation, we will showcase how vortex rings
are commonplace in a wide range of fluids. For example, in liquids, many
species of marine mammals know how to create them, play with them and
even use them to catch prey! Smoke rings in gases are also common. In
fact not only people can make smoke rings, but volcanoes and chimneys
are also at it!

In the second part of the presentation, we will focus on the occurrence of
vortex rings in superfluids (fluids without viscosity). We will specifically
focus on the realm of the nonlinear Schroedinger equation which serves
as an
accurate model for the meanfield dynamics of Bose-Einstein condensates. We
showcase some of the basic vortex ring phenomenology including, internal
excitation waves (Kelvin modes), their mutual interactions, collisions, and
scattering scenarios. We also briefly discuss an efficient computational
implementation for solving the ensuing partial differential equations
using GPU accelerated codes that allow for numerical integration runs of
vortex rings (almost) in real time!

Speaker Bio Biography

Birthplace: Mexico City.
Full Professor:
(2009- )
Full Professor, Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University
Associate Professor:
(2006-2009)
Associate Professor, Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University
Assistant Professor:
(2002-2006)
Assistant Professor, Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University
Postdoc:
(1999-2001)
Postdoctoral Research Fellow at Dept. of Mathematics and Statistics, Simon Fraser University, Vancouver, Canada. Partly funded by Pacific Institute for the Mathematical Sciences (PIMS)
Postdoc:
(1997-1999)
Research Fellow at Centre for Nonlinear Dynamics and its Applications, University College London, London, United Kingdom.
Ph.D.:
(1993-1997)
Dynamical Systems group at the School of Mathematical Sciences, Queen Mary and Westfield College, London, United Kingdom.

First degree:
(1988-1992)  

Physics, obtained at the Faculty of Sciences, Mexican National University (UNAM).


Research Interests

(For a detailed description go to my Research Page)

  • Applied mathematics.
  • Nonlinear wave propagation (solitons).
  • Nonlinear lattices (breathers).
  • Extended Dynamical Systems (PDEs, CMLs, CAs).
  • Bose-Einstein condensation.
  • Nonlinear Time Series.
  • Spatio-temporal Chaos.
  • Coupled Map Lattices (CML).
  • Propagation of signals through CML. (see Ph.D. thesis)
  • Synchronization and Mode-Locking.
  • Chaos in Hamiltonian systems.
  • Location ATEC - Advanced Test Equipment, 10401 Roselle St, San Diego, CA 92121
    Directions https://www.google.com/maps/dir/''/advanced+test+equipment/@32.8938141,-117.2879084,12z/data=!3m1!4b1!4m8!4m7!1m0!1m5!1m1!1s0x80dc071e629637e9:0xf188d91b04a97c05!2m2!1d-117.2178682!2d32.8938336
    Agenda
    6:30-7:00 PM Social
    7:00-8:00 PM Presentation
    Cost Free to IEEE members and students with ID; $5 cash only at the door for all others.
    RSVP https://events.vtools.ieee.org/m/43707



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