聚集系统中的碎裂不稳定性
Fragmentation instability in aggregating systems
摘要：
在种群平衡方程中加入碎裂机制引入了复杂的相互作用，使得分析甚至计算处理比纯聚集情况困难得多。当允许可变大小的片段时尤其如此，因为片段大小组合与交换中单体的数量呈指数增长。在这方面的贡献，我们提出了一个新的模型，它采用了不稳定的阈值在集群中，诱导任意的损失或收益的颗粒断裂与组合的过程中的大幅简化。该模型表现出两种不同的制度。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
