在无标度网络上基于偏好聚集机理的零区域凝聚现象

为了理解在真实网络中偏好聚集机理如何影响交通输运系统的粒子稳定态分布，研究了基于偏好聚集机理的零区域作用(zero range process,ZRP)凝聚现象.与以往采用巨正则系综方法处理ZRP问题不同，通过平均场速率方程解析得到了系统的相变点和稳定态分布情况.研究发现当存在正偏好聚集时，随着粒子跳跃速率的增大，系统呈现出三种不同的相：完全凝聚相、部分凝聚相、均匀相；当存在负偏好聚集机理时，系统只出现两相：部分凝聚相、均匀相.不同于无权与加权网络交通情况，系统的稳定态分布依赖于边权、粒子跳跃速率以及偏好 关键词： 无标度网络 零区域作用 偏好聚集 平均场速率方程

Zero range process condensation based on preferential aggregate mechanism in scale free networks

In the real world, condensation based on preferential aggregate mechanism, such as migration-driven aggregate growth system and packets routing in complex networks, is an important phenomenon. The research studies the ZRP condensation based on preferential aggregate mechanism in sale-free networks, in order to understand how the weighted transport with preferential hopping rates influences real systems. Instead of the approach of grand canonical ensemble which is generally used in a zero range process, an alternate approach of the mean field equations is used to study the dynamics of ZRP. The research finds that there are three phases when preferential aggregate index is greater than zero: namely the complete condensation, partial condensation, and well-proportioned condensation. But the ZRP system has only two phases when the preferential aggregate index is smaller than zero:the partial condensation and well-proportioned condensation. On the other hand, the mean particle distribution in the stationary state depends on the jumping rate, link weight, and preferential aggregate indexes. Monte Carlo simulation also validates the analytical results.