Jiang Rui, Hu Mao-Bin, Wu Yong-Hong, Wu Qing-Song
School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Apr;77(4 Pt 1):041128. doi: 10.1103/PhysRevE.77.041128. Epub 2008 Apr 29.
This paper studies a two-lane totally asymmetric simple exclusion process, in which particles could jump between the two lanes with asymmetric rates. In the weak coupling situation, the rates are inversely proportional to system size L . The appearance of localized shock in one lane and the discontinuous phase transition as revealed by Juhász [Phys. Rev. E 76, 021117 (2007)] are also reproduced. The density profiles and phase diagrams are constructed in the hydrodynamic limit, by numerically solving the steady state equations. The phase diagram in our model exhibits asymmetry, which is different from the symmetric one in Juhász's model. We have studied the phase boundary and discontinuous line analytically. The analytical results are in good agreement with that obtained from numerical integration. We also study the strong coupling situation, in which the lane changing rates are independent of L . Results completely different from that arising from weak coupling are presented. Furthermore, features different from that of the model presented by Pronina and Kolomeisky [Physica A 372, 12 (2006)] are revealed.
本文研究了一种双车道完全非对称简单排斥过程，其中粒子可以以非对称速率在两条车道之间跳跃。在弱耦合情况下，速率与系统大小(L)成反比。朱哈斯[《物理评论E》76, 021117 (2007)]所揭示的一条车道中局部激波的出现和不连续相变也被重现。通过数值求解稳态方程，在流体动力学极限下构建了密度分布和相图。我们模型中的相图表现出不对称性，这与朱哈斯模型中的对称相图不同。我们对相边界和不连续线进行了解析研究。解析结果与数值积分得到的结果吻合良好。我们还研究了强耦合情况，其中车道变换速率与(L)无关。给出了与弱耦合情况完全不同的结果。此外，还揭示了与普罗尼娜和科洛梅伊斯基[《物理A》372, 12 (2006)]所提出模型不同的特征。
