A study of coupling effect in cellular automata model of  traffic flow for two-l ane  with  open  boundary  conditions

This paper is based on Nagel-Schreckenberg cellular automata model as the foundation, in the open boundary conditions, the traffic vehicle redirecting probability and before lane changing rules get to intersection will produce certain effect to interference with intersection , and so as to builds up the nonsingular cellular automata model. Through the research to redirecting probability, lane changing rules and the settings of traffic lights play a part in traffic flow characteristics, and points out the influence of phase change point position ,and at the same time, traffic lights timing differences can reduce vehicle interference to increase traffic flow, at the same time, play a analysis the critical redirecting probability of traffic flow in controlling significance, and points out the relationship between the critical point of Lane changing probability and traffic flow influence ,and lane-changing rules is correspond to the basic line of vehicles running.

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A study on an improved Nagel-Schreckenberg traffic flow -model with open boundary conditions

Acta Physica Sinica ◽

10.7498/aps.51.2713 ◽

2002 ◽

Vol 51 (12) ◽

pp. 2713

Author(s):

Tian Hui-Li ◽

Liu Mu-Ren ◽

Kong Ling-Jiang

Keyword(s):

Boundary Conditions ◽

Traffic Flow ◽

Flow Model ◽

Open Boundary ◽

Open Boundary Conditions ◽

Traffic Flow Model

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Traffic flow modeling in fog with cellular automata model

Modern Physics Letters B ◽

10.1142/s0217984921501803 ◽

2021 ◽

Vol 35 (11) ◽

pp. 2150180

Author(s):

Xin-Hong Qiang ◽

Lei Huang

Keyword(s):

Cellular Automata ◽

Traffic Flow ◽

Flow Characteristics ◽

System Capacity ◽

Open Boundary ◽

Flow Modeling ◽

Test Scenario ◽

Cellular Automata Model ◽

Visual Distance ◽

Bottleneck Capacity

To explore the traffic flow characteristics in fog, a modified one-dimensional cellular automata model is developed considering the limited visual distance of drivers in low visibility. We suppose that drivers can be categorized into seven groups according to the radical degree, and the number of drivers follows the Gaussian distribution in general road system. Capacity shrinkage is confirmed, and there is a positive correlation between the speed limits and extent of capacity shrinkage. When on-ramp bottleneck is considered in open boundary condition, bottleneck capacity fluctuates greatly when enter probability of on-ramp is lower than the threshold, and the dependency between main lane capacity and distance away from on-ramp is weak in most cases. Besides, capacity phase diagrams of various test scenario show that the bottleneck capacity will not improve after the entry probability of the main lane reaches a certain value. This study can be an inspiration for traffic flow modeling in fog and other infrequent weather.

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A study on an improved Nagel-Schreckenberg traffic flow model with open boundary conditions

Acta Physica Sinica ◽

10.7498/aps.52.2421 ◽

2003 ◽

Vol 52 (10) ◽

pp. 2421

Author(s):

Bai Ke-Zhao ◽

Tan Hui-Li ◽

Liu Mu-Ren ◽

Kong Ling-Jiang

Keyword(s):

Boundary Conditions ◽

Traffic Flow ◽

Flow Model ◽

Open Boundary ◽

Open Boundary Conditions ◽

Traffic Flow Model

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Impurity induced scale-free localization

Communications Physics ◽

10.1038/s42005-021-00547-x ◽

2021 ◽

Vol 4 (1) ◽

Author(s):

Linhu Li ◽

Ching Hua Lee ◽

Jiangbin Gong

Keyword(s):

Boundary Conditions ◽

Skin Effect ◽

Reciprocal Lattice ◽

Periodic Boundary Conditions ◽

Open Boundary ◽

Open Boundary Conditions ◽

Translational Invariance ◽

Scale Free ◽

Special Cases ◽

Simulation Results

AbstractNon-Hermitian systems have been shown to have a dramatic sensitivity to their boundary conditions. In particular, the non-Hermitian skin effect induces collective boundary localization upon turning off boundary coupling, a feature very distinct from that under periodic boundary conditions. Here we develop a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with periodic/open boundary conditions and even their interpolations being special cases across a whole range of boundary impurity strengths. We uncover steady states with scale-free localization along or even against the direction of non-reciprocity in various impurity strength regimes. Also present are Bloch-like states that survive albeit broken translational invariance. We further explore the co-existence of non-Hermitian skin effect and scale-free localization, where even qualitative aspects of the system’s spectrum can be extremely sensitive to impurity strength. Specific circuit setups are also proposed for experimentally detecting the scale-free accumulation, with simulation results confirming our main findings.

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