Author: Lushnikov, A.A.

Source: Journal of Physics A: Mathematical and General, Volume 38, Number 21, 27 May 2005 , pp. L383-L387(5)

Publisher: IOP Publishing

Abstract:

The time evolution of a coagulating mixture in which binary coagulation governs the temporal changes to the particle mass and composition spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the first and the second components in the coalescing particles. This model is shown to reveal the sol–gel transition, i.e., the formation of a cluster with mass comparable to the total mass of the whole system. This letter reports on the exact solution of this model. The evolution equation for the generating functional defining all properties of coagulating systems is solved exactly for this particular kernel. The single-particle mass spectrum is analysed in the thermodynamic limit and it is demonstrated how the gel appears in this mixed system.

Document Type: Research article

DOI: http://dx.doi.org/10.1088/0305-4470/38/21/L02

Publication date: 2005-05-27

Related content

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics ,  Physics (General)
• By this author: Lushnikov, A.A.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers