Abstract
We propose a simple lattice-gas model characterized by two states of atoms, the “thermalized” state, which is the same as in the standard lattice-gas model, and the “running” state, where the atoms jump in one direction only. The model exhibits the existence of “traffice jams” (bunching of thermalized atoms in compact groups), the nonlinear dependence of mobility on the jump probability, and the hysteresis.
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REFERENCES
O. M. Braun, T. Dauxois, M. V. Paliy, and M. Peyrard, Phys. Rev. Lett. 78:1295 (1997); Phys. Rev. E 55:3598 (1997).
S. Katz, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. 34:497 (1984); J. Krug, Phys. Rev. Lett. 67:1882 (1991).
B. Derrida, E. Domany, and D. Mukamel, J. Stat. Phys. 69:667 (1992); B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, J. Phys. A; Math. Gen. 26:1493 (1993); G. Schutz and E. Domany, J. Stat. Phys. 72:277 (1993).
M. Schreckenberg and A. Schadschneider, “Modelling and Simulation of Traffic Flow with Cellular Automata,” In Proceedings of the Conference on Scientific Computing in Europe (SCE 96), H. J. Ruskin, R. O'Connor, and Y. Feng, eds. (Centre for Teaching Computing, Dublin City University, 1996).
K. Nagel and M. Schreckenberg, J. Phys. I France 2:2221 (1992); M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51:2939 (1995).
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Braun, O., Hu, B. Traffic Jams in a Lattice-Gas Model. Journal of Statistical Physics 92, 629–649 (1998). https://doi.org/10.1023/A:1023092705897
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DOI: https://doi.org/10.1023/A:1023092705897