论文标题

能量在弹道聚集中的作用

The role of energy in ballistic agglomeration

论文作者

Brilliantov, N. V., Osinsky, A. I., Krapivsky, P. L.

论文摘要

我们研究反应控制极限的弹道聚集过程。群集密度遵守一组无限的Smoluchowski速率方程,速率取决于平均粒子能量。后者在反应控制的极限中的所有簇物种都是相同的,并根据密度来遵守方程。我们通过总簇密度表达平均能量,使我们能够将管理方程式减少到标准的Smoluchowski方程。我们得出基本的渐近行为并通过数值验证它们。我们还将形式主义应用于暗物质的聚集。

We study a ballistic agglomeration process in the reaction-controlled limit. Cluster densities obey an infinite set of Smoluchowski rate equations, with rates dependent on the average particle energy. The latter is the same for all cluster species in the reaction-controlled limit and obeys an equation depending on densities. We express the average energy through the total cluster density that allows us to reduce the governing equations to the standard Smoluchowski equations. We derive basic asymptotic behaviors and verify them numerically. We also apply our formalism to the agglomeration of dark matter.

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