Asymmetric exclusion processes on m-input n-output junctions with parallel update

作者: Mingzhe Liu , Ruili Wang

DOI: 10.1016/J.PHYSA.2009.05.048

关键词:

摘要: Abstract In this paper, we investigate totally asymmetric exclusion processes (TASEPs) on lattices with an m -input n -output junction in parallel update. A general theoretical solution for traffic dynamics of TASEPs a is developed. More interestingly, junctions can be classified by parameter, λ = / . The the same exhibit dynamic properties (e.g., phase diagrams, stationary currents, and density profiles). When number and/or changes, low-density high-density regions measured qualitatively quantitatively. phase diagram obtained from simple mean-field approximation supported computer simulations. Stationary current profiles are calculated which show good agreement

参考文章(37)
Joel Louis Lebowitz, Cyril Domb, Melville S. Green, Phase Transitions and Critical Phenomena ,(1972)
J. J. Dong, B. Schmittmann, R. K. P. Zia, Inhomogeneous exclusion processes with extended objects: the effect of defect locations. Physical Review E. ,vol. 76, pp. 051113- 051113 ,(2007) , 10.1103/PHYSREVE.76.051113
M.R. Evans, K.E.P. Sugden, An exclusion process for modelling fungal hyphal growth Physica A-statistical Mechanics and Its Applications. ,vol. 384, pp. 53- 58 ,(2007) , 10.1016/J.PHYSA.2007.04.078
Paolo Pierobon, Mauro Mobilia, Roger Kouyos, Erwin Frey, Bottleneck-induced transitions in a minimal model for intracellular transport. Physical Review E. ,vol. 74, pp. 031906- ,(2006) , 10.1103/PHYSREVE.74.031906
M. Ebrahim Foulaadvand, Mehdi Neek-Amal, Asymmetric simple exclusion process describing conflicting traffic flows arXiv: Physics and Society. ,(2008) , 10.1209/0295-5075/80/60002
M. R. Evans, D. P. Foster, C. Godrèche, D. Mukamel, SPONTANEOUS SYMMETRY-BREAKING IN A ONE-DIMENSIONAL DRIVEN DIFFUSIVE SYSTEM Physical Review Letters. ,vol. 74, pp. 208- 211 ,(1995) , 10.1103/PHYSREVLETT.74.208
L G Tilstra, M H Ernst, Synchronous asymmetric exclusion processes Journal of Physics A: Mathematical and General. ,vol. 31, pp. 5033- 5063 ,(1998) , 10.1088/0305-4470/31/22/008
Leah B Shaw, Anatoly B Kolomeisky, Kelvin H Lee, Local inhomogeneity in asymmetric simple exclusion processes with extended objects Journal of Physics A. ,vol. 37, pp. 2105- 2113 ,(2004) , 10.1088/0305-4470/37/6/010
Ruili Wang, Mingzhe Liu, Rui Jiang, Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics Physica A-statistical Mechanics and Its Applications. ,vol. 387, pp. 457- 466 ,(2008) , 10.1016/J.PHYSA.2007.09.042