Phase transitions in traffic models

E. Levine; G. Ziv; L. Gray; D. Mukamel

doi:10.1007/s10955-004-5706-6

Phase transitions in traffic models

E. Levine, G. Ziv, L. Gray, D. Mukamel

School of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such correspondence is applicable, jamming phase transition does not take place. Rather, the system exhibits a smooth crossover between free-flow and jammed states, as the car density is increased.

Original language	English (US)
Pages (from-to)	819-830
Number of pages	12
Journal	Journal of Statistical Physics
Volume	117
Issue number	5-6
DOIs	https://doi.org/10.1007/s10955-004-5706-6
State	Published - Dec 2004

Bibliographical note

Funding Information:
We thank M.R. Evans and J.L. Lebowitz for useful discussions. The support of the Israel Science Foundation (ISF) and NSF Grant DMR 01-279-26 is gratefully acknowledged.

Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

Keywords

Driven diffusive systems
condensation transition
traffic jams

Publisher link

10.1007/s10955-004-5706-6

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abstract = "It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such correspondence is applicable, jamming phase transition does not take place. Rather, the system exhibits a smooth crossover between free-flow and jammed states, as the car density is increased.",

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note = "Funding Information: We thank M.R. Evans and J.L. Lebowitz for useful discussions. The support of the Israel Science Foundation (ISF) and NSF Grant DMR 01-279-26 is gratefully acknowledged. Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",

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AU - Ziv, G.

AU - Gray, L.

AU - Mukamel, D.

N1 - Funding Information: We thank M.R. Evans and J.L. Lebowitz for useful discussions. The support of the Israel Science Foundation (ISF) and NSF Grant DMR 01-279-26 is gratefully acknowledged. Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

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N2 - It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such correspondence is applicable, jamming phase transition does not take place. Rather, the system exhibits a smooth crossover between free-flow and jammed states, as the car density is increased.

AB - It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such correspondence is applicable, jamming phase transition does not take place. Rather, the system exhibits a smooth crossover between free-flow and jammed states, as the car density is increased.

KW - Driven diffusive systems

KW - condensation transition

KW - traffic jams

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Phase transitions in traffic models

Abstract

Bibliographical note

Keywords

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