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Phase transitions in stochastic models of flow

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Original languageEnglish
Title of host publicationTraffic and Granular Flow ' 05
EditorsA Schadschneider, T Poschel, R Kuhne, M Schreckenberg, DE Wolf
Place of PublicationBERLIN
PublisherSpringer-Verlag GmbH
Pages447-459
Number of pages13
ISBN (Print)978-3-540-47640-5
Publication statusPublished - 2007
Event6th International Conference on Traffic and Granular Flow - Berlin
Duration: 10 Oct 200512 Oct 2005

Conference

Conference6th International Conference on Traffic and Granular Flow
CityBerlin
Period10/10/0512/10/05

Abstract

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.

    Research areas

  • ZERO-RANGE PROCESS, FACTORIZED STEADY-STATES, PARTICLE-SYSTEMS, CONDENSATION, DYNAMICS, STATIONARY, SIMULATION

Event

6th International Conference on Traffic and Granular Flow

10/10/0512/10/05

Berlin

Event: Conference

ID: 1287904