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SUMMARY:Fractional diffusion-advection-asymmetry  equation - Eli Barkai (B
 ar-Ilan University)
DTSTART:20220224T100000Z
DTEND:20220224T103000Z
UID:TALK167786@talks.cam.ac.uk
DESCRIPTION:Fractional kinetic equations employ non-integer calculus to mo
 del anomalous relaxation and diffusion in many systems. While this approac
 h is well explored\, it so far failedto describe an important class of tra
 nsport in disordered systems. Motivated by workon contaminant spreading in
  geological formations we propose and investigate a fractional advection-d
 iffusion equation describing the biased spreading packet. While usualtrans
 port is described by diffusion and drift\, we find a third term describing
  symmetrybreaking which is omnipresent for transport in disordered systems
 . Our work is based oncontinuous time random walks with a finite mean wait
 ing time and a diverging variance\,a case that on the one hand is very com
 mon and on the other was missing in the kaleidoscope literature of fractio
 nal equations. The fractional space derivatives stem from longtrapping tim
 es while previously they were interpreted as a consequence of spatial L&ac
 ute\;evyflights.
LOCATION:Seminar Room 1\, Newton Institute
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