# Two-way traffic flow: Exactly solvable model of traffic jam

@article{Lee1997TwowayTF, title={Two-way traffic flow: Exactly solvable model of traffic jam}, author={H.-W. Lee and V. Popkov and D. Kim}, journal={Journal of Physics A}, year={1997}, volume={30}, pages={8497-8513} }

We study completely asymmetric two-channel exclusion processes in one dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars in the other lane. Particularly, we consider in detail the system with a finite density of cars on one lane and a single car on the other. When the interchannel interaction reaches a critical value, a traffic jam occurs, which turns out to be of first…

## 59 Citations

Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic

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A new bidirectional two-lane mixed cars traffic flow model is proposed, which considers canceling the restrictions on the queue of low-speed car, combine with FI model, and thinks when the car is changing lane, the behind vehicles from its adjacent lane have effects on it.

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This paper analyzes the behavior rules of drivers when oppositely directed vehicles meet and proposes a cellular automata (CA) model for interacting two-way vehicle flows.

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This paper studies a bidirectional two-lane asymmetric exclusion process, in which particles move in opposite direction on the two lanes. Interaction between the two lanes is implemented as follows:…

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Under the condition of open boundary, it proposes a new model which is based on the improved two-way two-lane cellular automaton traffic flow model which consists of two independent running main roads and two cross by-roads which allow overtaking.

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This paper proposes Multi-stream Minimum Acceptable Space (MMAS) Cellular Automata (CA) models to study unsignalised multi-lane (two- or three-lane) urban roundabouts to study heterogeneity and inconsistency of driver behavior and interactions in cross traffic at entrances of roundabouts.

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A system composed of two parallel totally asymmetric simple exclusion processes with open boundaries, where the particles move in the two lanes in opposite directions and are allowed to jump to the other lane with rates inversely proportional to the length of the system, undergoes a discontinuous phase transition.

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The Simon-Gutowitz bidirectional traffic model (Phys. Rev. E 57, 2441 (1998)) is revisited in this letter. We found that passing cars get stuck with oncoming cars before returning to their home…

## References

SHOWING 1-10 OF 21 REFERENCES

Particle hopping models and traffic flow theory.

- Computer Science, MedicinePhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1996

This paper shows connections between fluid-dynamical traffic flow models, which derive from the Navier-Stokes-equation, and particle hopping models, and starts building a foundation of a comprehensive dynamic traffic theory, where strengths and weaknesses of different models can be compared, and thus allowing to systematically choose the appropriate model for a given question.

Exact results for the asymmetric simple exclusion process with a blockage

- Mathematics, Physics
- 1994

We present new results for the current as a function of transmission rate in the one-dimensional totally asymmetric simple exclusion process (TASEP) with a blockage that lowers the jump rate at one…

Exact diffusion constant for one-dimensional asymmetric exclusion models

- Physics
- 1993

The one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, is considered on a ring of size N. The steady…

Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage

- Mathematics
- 1993

We present a model for a one-dimensional anisotropic exclusion process describing particles moving deterministically on a ring of lengthL with a single defect, across which they move with probability…

Exact solution of a 1d asymmetric exclusion model using a matrix formulation

- Mathematics
- 1993

Several recent works have shown that the one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, can be…

Exact solution of the totally asymmetric simple exclusion process: Shock profiles

- Mathematics
- 1993

The microscopic structure of macroscopic shocks in the one-dimensional, totally asymmetric simple exclusion process is obtained exactly from the complete solution of the stationary state of a model…

Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process.

- Physics, MedicinePhysical review. A, Atomic, molecular, and optical physics
- 1992

This work considers a system of particles on a lattice of L sites, evolving according to the asymmetric simple-exclusion process, and finds that fluctuations of the shock position about its average value grow like ${\mathit{L}}^{1/2}$ or Â£1/3$ depending upon whether particle-hole symmetry exists.

Microscopic-Shock Profiles: Exact Solution of a Non-equilibrium System.

- Physics
- 1993

The full microscopic structure of macroscopic shocks is obtained exactly in the onedimensional totally asymmetric simple exclusion process from the complete solution of the uniform stationary…

Statistical mechanics of driven diffusive systems

- Chemistry
- 1995

Publisher Summary This chapter discusses the systems coupled to two reservoirs of energy in such a way that there is a steady energy flow through the system. An example is a resistor in steady state,…

Proceedings of STATPHYS 19

- Proceedings of STATPHYS 19
- 1996