TOPICAL REVIEW: Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
TOPICAL REVIEW: Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
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DOI：
10.1088/0305-4470/36/36/201
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发表时间：
2003-09
期刊：
影响因子：
--
通讯作者：
G. Schütz
中科院分区：
文献类型：
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作者：
G. Schütz
最近的工作随机相互作用粒子系统与两个粒子物种（或单物种系统的运动学约束）已经证明了存在自发对称性破缺，长程有序和相共存的非平衡稳态，即使平移不变性是不打破的缺陷或开放的边界。如果这两个粒子物种是保守的，时间的行为在很大程度上是未经探索的，但目前的工作从微观到宏观尺度的过渡的第一个结果产生精确耦合的非线性流体动力学方程，并表明出现了新类型的冲击波，这是集体激发稳定的流动微观波动。我们回顾了这些系统的基本静态和动态特性，突出的作用，守恒定律和动力学约束的流体动力学行为，微观起源的域壁（冲击）的稳定性和粗化动力学域在相分离。
Recent work on stochastic interacting particle systems with two particle species (or single-species systems with kinematic constraints) has demonstrated the existence of spontaneous symmetry breaking, long-range order and phase coexistence in nonequilibrium steady states, even if translational invariance is not broken by defects or open boundaries. If both particle species are conserved, the temporal behaviour is largely unexplored, but first results of current work on the transition from the microscopic to the macroscopic scale yield exact coupled nonlinear hydrodynamic equations and indicate the emergence of novel types of shock waves which are collective excitations stabilized by the flow of microscopic fluctuations. We review the basic stationary and dynamic properties of these systems, highlighting the role of conservation laws and kinetic constraints for the hydrodynamic behaviour, the microscopic origin of domain wall (shock) stability and the coarsening dynamics of domains during phase separation.