Don't Forget Your Tail! A Moving Condensate Maintained by its Tail
- Event time: 1:00pm
- Event date: 7th April 2014
- Speaker: Justin Whitehouse (Formerly 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
Condensate phases, where some quantity becomes localised, are found in fundamental models of a wide variety of processes, such as in traffic flow, wealth redistribution, etc. Within the 'standard' formulation of the Zero-Range Process (ZRP), where only one unit of mass 'hops' at a time, a condensation transition is observed with the appropriate choice of hop rate. However, condensates formed in this model are static, whereas many real-world systems exhibit a moving condensate phase, such as a traffic jam. To learn more about moving condensate phases we study a model based on the ZRP where all but one of the particles on a site hop at once. We find that under these dynamics a moving strong condensate is formed at all densities $\rho$ when a hopping parameter $b$ is increased beyond a critical value $b_c$. We show using analytical and numerical approaches that the model exhibits a stable moving condensate localised over a few lattice sites.
This is a weekly series of informal talks given primarily by members of the soft condensed matter and statistical mechanics groups, but is also open to members of other groups and external visitors. The aim of the series is to promote discussion and learning of various topics at a level suitable to the broad background of the group. Everyone is welcome to attend..