Holm Darryl D, Putkaradze Vakhtang
Computer and Computational Science, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev Lett. 2005 Nov 25;95(22):226106. doi: 10.1103/PhysRevLett.95.226106. Epub 2005 Nov 23.
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.
推导了有限尺寸粒子聚集动力学的新模型方程。与标准德拜-休克尔模型和凯勒-西格尔模型的不同之处在于，粒子的迁移率取决于其相邻粒子的构型，并且线性扩散作用于局部平均粒子密度。这些模型中坍缩态的演化精确地简化为相互作用粒子团块的有限维动力学。模拟表明，即使在一维空间中，这些坍缩（聚集）态也会从平滑的初始条件中出现。还讨论了向二维和三维的扩展。
