Aggregation of finite-size particles with variable mobility.
Aggregation of finite-size particles with variable mobility.
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DOI：
10.1103/physrevlett.95.226106
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发表时间：
2005-01
影响因子：
8.6
通讯作者：
Darryl D. Holm;V. Putkaradze
中科院分区：
文献类型：
--
作者：
Darryl D. Holm;V. Putkaradze
新的模型方程推导出有限尺寸颗粒的聚集动力学。与标准的Debye-Hückel和Keller-Segel模型的不同之处在于，粒子的迁移率取决于其邻居的配置，线性扩散作用于局部平均粒子密度。在这些模型中的坍缩状态的演变减少到相互作用的粒子团簇的有限维动力学。模拟显示，这些塌陷（聚集）状态从平滑的初始条件中出现，即使在一维空间中也是如此。扩展到二维和三维也进行了讨论。
New model equations are derived for dynamics of aggregation of finite-size particles. The differences from standard Debye-Hückel and Keller-Segel models are that the mobility of particles depends on the configuration of their neighbors and linear diffusion acts on locally averaged particle density. The evolution of collapsed states in these models reduces exactly to finite-dimensional dynamics of interacting particle clumps. Simulations show these collapsed (clumped) states emerge from smooth initial conditions, even in one spatial dimension. Extensions to two and three dimensions are also discussed.