Volume 42, Number 2, April II 1998
|Page(s)||137 - 142|
|Published online||01 September 2002|
Spontaneous jamming in one-dimensional systems
Department of Physics and Astronomy, University of Edinburgh,
Mayfield Road, Edinburgh EH9 3JZ, UK
Accepted: 23 February 1998
We study the phenomenon of jamming in driven diffusive systems. We introduce a simple microscopic model in which jamming of a conserved driven species is mediated by the presence of a non-conserved quantity, causing an effective long-range interaction of the driven species. We study the model analytically and numerically, providing strong evidence that jamming occurs; however, this proceeds via a strict phase transition (with spontaneous symmetry breaking) only in a prescribed limit. Outside this limit, the nearby transition (characterised by an essential singularity) induces sharp crossovers and transient coarsening phenomena. We discuss the relevance of the model to two physical situations: the clustering of buses, and the clogging of a suspension forced along a pipe.
PACS: 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 64.60.-i – General studies of phase transitions / 89.40.+k – Transportation
© EDP Sciences, 1998
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.