A model of irreversible jam formation in dense traffic

J.G. Brankov, N.Zh. Bunzarova, N.C. Pesheva and V.B. Priezzhev

Physica A: Statistical Mechanics and its Applications, 2018, vol. 494, issue C, 340-350

Abstract: We study an one-dimensional stochastic model of vehicular traffic on open segments of a single-lane road of finite size L. The vehicles obey a stochastic discrete-time dynamics which is a limiting case of the generalized Totally Asymmetric Simple Exclusion Process. This dynamics has been previously used by Bunzarova and Pesheva (2017) for an one-dimensional model of irreversible aggregation. The model was shown to have three stationary phases: a many-particle one, MP, a phase with completely filled configuration, CF, and a boundary perturbed MP+CF phase, depending on the values of the particle injection (α), ejection (β) and hopping (p) probabilities.

Keywords: Non-equilibrium phenomena; One-dimensional stochastic process; Stationary states; Congested traffic; Irreversible jam formation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:494:y:2018:i:c:p:340-350

DOI: 10.1016/j.physa.2017.11.158

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