Overshooting Currents and Condensation Transitions in the Zero-Range Process
- Event time: 1:00pm
- Event date: 19th July 2004
- Speaker: Andrew Angel (University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
The zero-range process is a simple model in which particles hop to adjacent sites on a lattice with some rate. With appropriate rates, representing an attraction between particles, the model can undergo a condensation transition in the thermodynamic limit. The particle current versus particle density diagram is monotonically increasing below the transition and is constant above it. Large but finite systems show similar behaviour with a closely matching current-density diagram, except that the current 'overshoots' the constant value before approaching it a thigher density. This phenomenon and its analysis will be discussed and related phenomena and applications of the zero-range process will betouched upon.
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..