Phase Transitions in Stochastic Models of Flow

Martin R. Evans
Additional contact information
Martin R. Evans: The University of Edinburgh, SUPA, School of Physics

A chapter in Traffic and Granular Flow’05, 2007, pp 447-459 from Springer

Abstract: Summary In this talk I will review some very simple models of nonequilibrium systems known as the ‘Asymmetric Exclusion Process’ and the ‘Zero-Range Process’. These involve particles hopping stochastically on a lattice and thus form stochastic models of flow. Systems driven out of equilibrium can often exhibit behaviour not seen in systems in thermal equilibrium - for example phase transitions in one-dimensional systems. I shall show how examples of such transitions may be interpreted as jamming transitions in the context of traffic flow. More generally I shall discuss other instances of the condensation transition which is the phenomenon of a finite fraction of the driven conserved quantity condensing into a small spatial region. Criteria for the occurrence of condensation may be formulated and the detailed properties of the condensate such as its fluctuations have recently been elucidated.

Keywords: Exclusion Process; Nonequilibrium System; High Density Region; Empty Site; Nonequilibrium Steady State (search for similar items in EconPapers)
Date: 2007
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_41

Ordering information: This item can be ordered from
http://www.springer.com/9783540476412

DOI: 10.1007/978-3-540-47641-2_41

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().