Phase diagram of one-dimensional driven lattice gases with open boundaries

Anatoly B. Kolomeisky; Gunter M. Schütz; Eugene B. Kolomeisky; Joseph P. Straley

doi:10.1088/0305-4470/31/33/003

Phase diagram of one-dimensional driven lattice gases with open boundaries

Anatoly B. Kolomeisky, Gunter M. Schütz, Eugene B. Kolomeisky, Joseph P. Straley

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

335 Scopus citations

Abstract

We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one-dimensional lattice. The long-term system dynamics, stationary states, and the nature of phase transitions between steady states can be understood in terms of the interplay of two characteristic velocities, the collective velocity and the shock (domain wall) velocity. This interplay results in two distinct types of domain walls whose dynamics is computed. We conclude that the phase diagram of the ASEP is generic for one-component driven lattice gases with a single maximum in the current-density relation.

Original language	English
Pages (from-to)	6911-6919
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	33
DOIs	https://doi.org/10.1088/0305-4470/31/33/003
State	Published - Aug 21 1998

Bibliographical note

Funding Information:
Acknowledgements The first author wishes to thank the University of Malaya's Postgraduate Scholarship Committee as well as the Research and Development Management Unit for providing financial support for the research. The authors are grateful to Professor Ronald Melzack of McGill University for allowing the use of the Short-Form McGill Pain Questionnaire.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/31/33/003

Cite this

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title = "Phase diagram of one-dimensional driven lattice gases with open boundaries",

abstract = "We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one-dimensional lattice. The long-term system dynamics, stationary states, and the nature of phase transitions between steady states can be understood in terms of the interplay of two characteristic velocities, the collective velocity and the shock (domain wall) velocity. This interplay results in two distinct types of domain walls whose dynamics is computed. We conclude that the phase diagram of the ASEP is generic for one-component driven lattice gases with a single maximum in the current-density relation.",

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AU - Kolomeisky, Anatoly B.

AU - Schütz, Gunter M.

AU - Kolomeisky, Eugene B.

AU - Straley, Joseph P.

N1 - Funding Information: Acknowledgements The first author wishes to thank the University of Malaya's Postgraduate Scholarship Committee as well as the Research and Development Management Unit for providing financial support for the research. The authors are grateful to Professor Ronald Melzack of McGill University for allowing the use of the Short-Form McGill Pain Questionnaire.

PY - 1998/8/21

Y1 - 1998/8/21

N2 - We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one-dimensional lattice. The long-term system dynamics, stationary states, and the nature of phase transitions between steady states can be understood in terms of the interplay of two characteristic velocities, the collective velocity and the shock (domain wall) velocity. This interplay results in two distinct types of domain walls whose dynamics is computed. We conclude that the phase diagram of the ASEP is generic for one-component driven lattice gases with a single maximum in the current-density relation.

AB - We consider the asymmetric simple exclusion process (ASEP) with open boundaries and other driven stochastic lattice gases of particles entering, hopping and leaving a one-dimensional lattice. The long-term system dynamics, stationary states, and the nature of phase transitions between steady states can be understood in terms of the interplay of two characteristic velocities, the collective velocity and the shock (domain wall) velocity. This interplay results in two distinct types of domain walls whose dynamics is computed. We conclude that the phase diagram of the ASEP is generic for one-component driven lattice gases with a single maximum in the current-density relation.

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Phase diagram of one-dimensional driven lattice gases with open boundaries

Abstract

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