Dynamics in multi-lane TASEPs coupled with asymmetric lane-changing rates

Wang, Yuqing; Jia, Bin; Jiang, Rui; Gao, Ziyou; Li, Wan-He; Bao, Ke-Jie; Zheng, Xian-Ze

doi:10.1007/s11071-017-3361-0

Cited by 46 publications

(7 citation statements)

References 46 publications

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“…12 , through studying the relationship between and J total in three complete kinds of such driven diffusive system, namely totally heterogeneous interactions (namely, our work), partly heterogeneous ones and homogeneous ones. Under any conserved global density, the optimal total current obtained from our work is generally greater than that of homogeneous one or partly heterogeneous ones including pre-existing results 39 , 40 and the universal case of partly heterogeneous. Besides, the value of optimal total current obtained from our model is equal to that of homogeneous when , since the optimal current in each channel reaches to the maximum.…”

Section: Resultsmentioning

confidence: 64%

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Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

Wang

et al. 2018

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Totally asymmetric simple exclusion process (namely, TASEP) is one of the most vital driven diffusive systems, which depicts stochastic dynamics of self-driven particles unidirectional updating along one-dimensional discrete lattices controlled by hard-core exclusions. Different with pre-existing results, driven diffusive system composed by multiple TASEPs with asymmetric heterogeneous interactions under two-dimensional periodic boundaries is investigated. By using detailed balance principle, particle configurations are extensively studied to obtain universal laws of characteristic order parameters of such stochastic dynamic system. By performing analytical analyses and Monte-Carlo simulations, local densities are found to be monotone increase with global density and spatially homogeneous to site locations. Oppositely, local currents are found to be non-monotonically increasing against global density and proportional to forward rate. Additionally, by calculating different cases of topologies, changing transition rates are found to have greater effects on particle configurations in adjacent subsystems. By intuitively comparing with pre-existing results, the improvement of our work also shows that introducing and considering totally heterogeneous interactions can improve the total current in such multiple TASEPs and optimize the overall transport of such driven-diffusive system. Our research will be helpful to understand microscopic dynamics and non-equilibrium dynamical behaviors of interacting particle systems.

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Section: Resultsmentioning

confidence: 64%

“… 39 is the case of partly heterogeneous interactions. Afterwards, authors focused on asymmetric lane-changing behavior under two strong constraint conditions, where two special cases (namely, equal rates for internal and external adjacent lanes) were studied 40 . The heterogeneity of multi-lane TASEPs was also partly considered.…”

Section: Introductionmentioning

confidence: 99%

Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

Wang

et al. 2018

Sci Rep

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“…(6)-(9) can correspond to real traffic phenomena. 43 In details, as for the heavy traffic, the velocity of vehicle j is heavily affected by its front neighbor j + 1. While for the light one, it depends on the following vehicle's velocity.…”

Section: Modelmentioning

confidence: 99%

Theoretical analysis of a hybrid traffic model accounting for safe velocity

et al. 2017

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A hybrid traffic-flow model [Wang-Zhou-Yan (WZY) model] is brought out in this paper. In WZY model, the global equilibrium velocity is replaced by the local equilibrium one, which emphasizes that the modification of vehicle velocity is based on the view of safedriving rather than the global deployment. In the view of safe-driving, the effect of drivers' estimation is taken into account. Moreover, the linear stability of the traffic model has been performed. Furthermore, in order to test the robustness of the system, the evolvement of the density wave and the velocity wave of the traffic flow has been numerically calculated.

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“…Eqs. (19) and (20) give a compact exact solution to part of our problem. These expressions however involve (N + 1) × (N + 1) determinants and are not very easy to manipulate.…”

Section: The Determinantal Formulamentioning

confidence: 99%

“…The role of defects has been extensively studied in the TASEP [10,11,12,13,14,15,16,17,18,19]. In several applications the defects are dynamic and may depend on the local configuration of particles.…”

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Zone clearance in an infinite TASEP with a step initial condition

Cividini¹,

Appert-Rolland²

2017

J. Phys. A: Math. Theor.

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Abstract. The TASEP is a paradigmatic model of out-of-equilibrium statistical physics, for which many quantities have been computed, either exactly or by approximate methods. In this work we study two new kinds of observables that have some relevance in biological or traffic models. They represent the probability for a given clearance zone of the lattice to be empty (for the first time) at a given time, starting from a step density profile. Exact expressions are obtained for single-time quantities, while more involved history-dependent observables are studied by Monte Carlo simulation, and partially predicted by a phenomenological approach.arXiv:1701.06129v2 [cond-mat.stat-mech]

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Dynamics in multi-lane TASEPs coupled with asymmetric lane-changing rates

Cited by 46 publications

References 46 publications

Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

Analytical and simulation studies of driven diffusive system with asymmetric heterogeneous interactions

Theoretical analysis of a hybrid traffic model accounting for safe velocity

Zone clearance in an infinite TASEP with a step initial condition

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