When: Tomorrow Friday July 20th from 2 to 3 PM
Where: Cabot Division Room at Mallinckrodt
What: Jacob Krich is giving his last ever group meeting as a lowly
post-doc as he is off to be Professor Krich in a few weeks!
Disordered solids, percolation theory, and Anderson localization
==============================================
Abstract: I will use my swan song in the Aspuru-Guzik group to
introduce some concepts not usually studied in the group but with a
lot of relevance to transport problems in many interesting systems.
Depending on how long I have to make slides, it will be a brief tour
through the beautiful math and physics of percolation theory, random
matrix theory, and Anderson localization. I'll motivate by starting
with some of the history of photocopiers and the resulting theory of
anomalous diffusion.
I will present, theoretically and numerically, a simple model for
phonons in a disordered system that shows rich behavior in the
localization properties of the phonons as a function of the density
and the spatial dimension. I will present analytic arguments, based on
percolation theory, that the system displays a
localization/delocalization transition in dimensions greater than 1.
This disordered system has a well-defined speed of sound c, and we
calculate c and compare to numerical results.
--
Ryan Babbush | PhD Student in Chemistry
(949) 331-3943 | babbush(a)fas.harvard.edu
Harvard University | Aspuru-Guzik Research Group
12 Oxford Street, Box 400 | Cambridge, MA 02138
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