Diffusion, fragmentation and merging: Rate equations, distributions and critical points

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• 作者：Jesper Ferkinghoff-Borg ; Mogens H. Jensen ; Joachim Mathiesen and Poul Olesen
• 关键词：The Smoluchowski equation ; Diffusion ; Fragmentation ; Coagulation
• 刊名：Physica D
• 出版年：2006
• 出版时间：October 2006
• 年：2006
• 卷：222
• 期：1-2
• 页码：88-96
• 全文大小：546 K

文摘

The fundamental processes of diffusion, fragmentation and merging are very common in many physical systems. We study situations where either two or all three of these processes are present in the dynamical evolution of the system. Specifically, we formulate rate equations in terms of the distribution N(x,t) of fragments of linear size x at time t which include a combination of diffusive growth, size fragmentation and fragment coagulation. Our goal is to obtain analytical solutions for N(x,t) in varying situations and in specific limits of aee"" title=""Click to view the MathML source"">x and t.