Statics and dynamics of Exclusion Processes (II)
Statics and dynamics of Exclusion Processes (II)
- Event time: 11:30am
- Event date: 16th November 2011
- Speaker: Professor Martin Evans (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
In this talk I will work out the dynamical mean field theory for the open boundary ASEP, which is essentially the Burgers' equation with prescribed boundary conditions. I'll show that in addition to the static phase boundaries, additional dynamical transition lines appear. In order to understand these new transitions we go back to the inviscid Burgers equation and discuss kinematic waves, shock formation and rarefaction fans. We can then consider adding fluctuations to a description of the system in terms of shocks to produce a domain wall theory which gives an accurate description of the system in the regime $\alpha<1/2$, $\beta <1/2$.
About Statistical Physics and Complexity Group meetings
This is a weekly series of webinars on theoretical aspects of Condensed Matter, Biological, and Statistical Physics. It is open to anyone interested in research in these areas..
Find out more about Statistical Physics and Complexity Group meetings.