Pierobon Paolo, Frey Erwin, Franosch Thomas
Arnold Sommerfeld Center for Theoretical Physics (ASC), Department of Physics, Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333 München, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 1):031920. doi: 10.1103/PhysRevE.74.031920. Epub 2006 Sep 28.
We investigate the nonequilibrium steady state of a one-dimensional (1D) lattice gas of dimers. The dynamics is described by a totally asymmetric exclusion process (TASEP) supplemented by attachment and detachment processes, mimicking chemical equilibrium of the 1D driven transport with the bulk reservoir. The steady-state phase diagram and current and density profiles are calculated using both a refined mean-field theory and extensive stochastic simulations. As a consequence of the on-off kinetics, a phase coexistence region arises intervening between low and high density phases such that the discontinuous transition line of the TASEP splits into two continuous ones. The results of the mean-field theory and simulations are found to coincide. We show that the physical picture obtained in the corresponding lattice gas model with monomers is robust, in the sense that the phase diagram changes quantitatively, but the topology remains unaltered. The mechanism for phase separation is identified as generic for a wide class of driven 1D lattice gases.
我们研究了一维二聚体晶格气体的非平衡稳态。其动力学由完全非对称排斥过程(TASEP)描述,并辅以附着和脱离过程,模拟一维驱动输运与主体储库的化学平衡。使用精细的平均场理论和广泛的随机模拟计算了稳态相图以及电流和密度分布。由于开关动力学,在低密度相和高密度相之间出现了一个相共存区域,使得TASEP的不连续转变线分裂为两条连续的线。发现平均场理论和模拟的结果一致。我们表明,在相应的单体晶格气体模型中获得的物理图像是稳健的,即相图在数量上发生变化,但拓扑结构保持不变。相分离的机制被确定为一类广泛的驱动一维晶格气体所共有的。