Primitive cooperative particle flow models

Robin Stinchcombe

Physica A: Statistical Mechanics and its Applications, 2006, vol. 372, issue 1, 1-11

Abstract: Traffic examples from vehicular systems to socio- and micro-biological systems are used to illustrate features relevant for modelling. After some comments on linear flow the emphasis turns to collective traffic flow, as it is captured by driven lattice-based excluding-particle models. An approximate treatment is then given of the most fundamental of these (the one-dimensional “ASEP”), covering its “jamming” steady-state phase transition and its kink dynamics, in both discrete and continuum versions. Necessary generalisations of the process, and of the geometry (to multi-lanes and to higher dimensions), as well as multi-species generalisations, are then briefly discussed, followed by an introduction to exact analytic approaches and recent developments.

Keywords: Nonequilibrium; Flow; Collective models (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:372:y:2006:i:1:p:1-11

DOI: 10.1016/j.physa.2006.05.013

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