论文标题
聚合系统中的分裂不稳定
Fragmentation instability in aggregating systems
论文作者
论文摘要
在人口平衡方程中包含碎片机制会引入复杂的相互作用，这使得分析甚至计算处理要比纯聚集案例更加困难。当允许变量大小的片段时，这是事实是正确的，因为片段大小组合与交换中的单体数量的指数增长。在此贡献中，我们提出了一个新模型，该模型结合了簇中的不稳定性阈值，该模型通过断裂引起任意损失或颗粒的收益，并大量简化了该过程的组合。该模型展示了两个不同的制度。
The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially true when variable sized fragments are allowed, because of the exponential growth in fragments size combinations with the number of monomers in the exchanges. In this contribution we present a new model that incorporates an instability threshold in the clusters, which induces arbitrary losses or gains of particles by fracture with a substantial simplification of the combinatorics of the process. The model exhibits two different regimes.
