Self-similar behavior for multicomponent coagulation
Self-similar behavior for multicomponent coagulation
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DOI：
10.1007/s10483-014-1872-7
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发表时间：
2014-11
影响因子：
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通讯作者：
Manli Yang;Zhiming Lu;Yu-lu Liu
中科院分区：
文献类型：
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作者：
Manli Yang;Zhiming Lu;Yu-lu Liu
本文对多组分混凝系统的自相似行为进行了分析研究。通过引入不同的生成函数，实现了常数核、和核、乘积核的渐近自相似解。在这些解决方案中，引入了两个尺寸尺度变量来表征总质量和个体质量的渐近分布。产物核（胶凝核）的结果在一定程度上与Vigli-Ziff猜想一致。此外，获得了恒定核注入的稳态解，这又是正态分布和单变量凝固的缩放解的乘积。
Self-similar behavior for the multicomponent coagulation system is investigated analytically in this paper. Asymptotic self-similar solutions for the constant kernel, sum kernel, and product kernel are achieved by introduction of different generating functions. In these solutions, two size-scale variables are introduced to characterize the asymptotic distribution of total mass and individual masses. The result of product kernel (gelling kernel) is consistent with the Vigli-Ziff conjecture to some extent. Furthermore, the steady-state solution with injection for the constant kernel is obtained, which is again the product of a normal distribution and the scaling solution for the single variable coagulation.