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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Fractional diffusion-advection-asymmetry equation
- Eli Barkai (Bar-Ilan University)
DTSTART;TZID=Europe/London:20220224T100000
DTEND;TZID=Europe/London:20220224T103000
UID:TALK167786AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/167786
DESCRIPTION:Fractional kinetic equations employ non-integer ca
lculus to model anomalous relaxation and diffusion
in many systems. While this approach is well expl
ored\, it so far failedto describe an important cl
ass of transport in disordered systems. Motivated
by workon contaminant spreading in geological form
ations we propose and investigate a fractional adv
ection-diffusion equation describing the biased sp
reading packet. While usualtransport is described
by diffusion and drift\, we find a third term desc
ribing symmetrybreaking which is omnipresent for t
ransport in disordered systems. Our work is based
oncontinuous time random walks with a finite mean
waiting time and a diverging variance\,a case that
on the one hand is very common and on the other w
as missing in the kaleidoscope literature of fract
ional equations. The fractional space derivatives
stem from longtrapping times while previously they
were interpreted as a consequence of spatial L&ac
ute\;evyflights.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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