论文信息 - Shock formation and traffic jam induced by a crossing in the 1D asymmetric exclusion model

Shock formation and traffic jam induced by a crossing in the 1D asymmetric exclusion model

The asymmetric simple-exclusion model on two-crossing one-dimensional lattices is considered for studying shock formation and traffic jams induced by a crossing. The condition for shock formation is derived for car densities p1 and p2 of the first and second street. The phase diagram and the dependence of the traffic current on the car densities are shown. We compare the present result with that of a car accident. Also, we investigate the shock formation induced by both a crossing and a car accident. It is found that the dynamical transitions occur successively with increasing car density. The phase diagram is shown.

Takashi Nagatani | T. Nagatani

[1] T. Vicsek,et al. Dynamics of fractal surfaces , 1991 .

[2] T. Liggett. Interacting Particle Systems , 1985 .

[3] H. Spohn,et al. Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian. , 1992, Physical review letters.

[4] Krug,et al. Universality classes for deterministic surface growth. , 1988, Physical review. A, General physics.

[5] Maury Bramson. Front propagation in certain one-dimensional exclusion models , 1988 .

[6] Michael Schreckenberg,et al. A cellular automaton model for freeway traffic , 1992 .

[7] Middleton,et al. Self-organization and a dynamical transition in traffic-flow models. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[8] Sander,et al. Ballistic deposition on surfaces. , 1986, Physical review. A, General physics.

[9] H. Spohn. Large Scale Dynamics of Interacting Particles , 1991 .

[10] Wilhelm Leutzbach,et al. Introduction to the Theory of Traffic Flow , 1987 .

[11] B. Derrida,et al. Exact solution of a 1d asymmetric exclusion model using a matrix formulation , 1993 .

[12] Lebowitz,et al. Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process. , 1992, Physical review. A, Atomic, molecular, and optical physics.