Statics and dynamics of a zero-range process with saturated condensation
- Event time: 1:00pm
- Event date: 15th February 2010
- Speaker: Alasdair Thompson (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
I will present an overview of a class of one dimensional zero-range processes in which the real-space condensation phenomenon does not occur and is replaced by a saturated condensation: that is, an extensive number of finite-size condensates in the steady state. We determined the conditions under which this occurs, and investigated the dynamics of relaxation to the steady state. Those dynamics can be naturally identified with two distinct stages: a rapid initial growth of condensates followed by a slow process of activated evaporation and condensation. I will sketch the calculation of the early time dynamics under a mean-field approximation, the equilibrium evaporation and condensation rates with a first-passage time calculation and the non-equilibrium relaxation using a fluctuation-dissipation type approach.
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..