顺流而下/逆流而上确定性扩散驱动系统
Travelling with/against the flow. Deterministic diffusive driven systems
摘要：
介绍并研究了一个确定性晶格模型，该模型描述了在恒定电场作用下带相反电荷的粒子的无限大系统的运动。作为一个应用，该模型表示沿狭窄道路向相反方向移动的汽车的交通流。我们的主要结果涉及的基本图的系统描述的依赖平均粒子速度对它们的密度和相图描述的分区的空间的粒子配置成具有不同的定性性质的区域，我们确定与自由，堵塞和滞后阶段。
英文摘要：
We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars moving in opposite directions along a narrow road. Our main results concern the Fundamental diagram of the system describing the dependence of average particle velocities on their densities and the Phase diagram describing the partition of the space of particle configurations into regions having different qualitative properties, which we identify with free, jammed and hysteresis phases.
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