Wang Yu-Qing, Jiang Rui, Kolomeisky Anatoly B, Hu Mao-Bin
State Key Laboratory of Fire Science and School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
Department of Chemistry, Rice University, Houston, TX 77005-1892, USA.
Sci Rep. 2014 Jun 26;4:5459. doi: 10.1038/srep05459.
This paper studies a weakly and asymmetrically coupled three-lane driven diffusive system. A non-monotonically changing density profile in the middle lane has been observed. When the extreme value of the density profile reaches ρ = 0.5, a bulk induced phase transition occurs which exhibits a shock and a continuously and smoothly decreasing density profile which crosses ρ = 0.5 upstream or downstream of the shock. The existence of double shocks has also been observed. A mean-field approach has been used to interpret the numerical results obtained by Monte Carlo simulations. The current minimization principle has excluded the occurrence of two or more bulk induced shocks in the general case of nonzero lane changing rates.
本文研究了一个弱且非对称耦合的三车道驱动扩散系统。已观察到中间车道存在非单调变化的密度分布。当密度分布的极值达到ρ = 0.5时,会发生整体诱导相变,该相变表现出一个激波以及一个连续且平滑递减的密度分布,该密度分布在激波的上游或下游穿过ρ = 0.5。还观察到了双激波的存在。已采用平均场方法来解释通过蒙特卡罗模拟获得的数值结果。在非零车道变换率的一般情况下,电流最小化原理排除了出现两个或更多整体诱导激波的情况。