Lushnikov A A
Department of Physical Sciences, University of Helsinki, P.O. Box 64. FIN-00014, Helsinki, Finland.
Phys Rev Lett. 2004 Nov 5;93(19):198302. doi: 10.1103/PhysRevLett.93.198302. Epub 2004 Nov 4.
The time evolution of a disperse system wherein the binary coagulation alone governs the temporal changes of particle mass spectra is studied under the assumption that the coagulation kernel is proportional to the product of masses of the coalescing particles. This model is known 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 single-particle mass spectrum is analyzed in the thermodynamic limit and it is demonstrated explicitly how the gel appears in the system.
在凝并核与聚并颗粒质量的乘积成正比这一假设下，研究了仅二元凝聚控制颗粒质谱随时间变化的分散体系的时间演化。已知该模型揭示了溶胶 - 凝胶转变，即形成一个质量与整个系统总质量相当的聚集体。本快报报道了该模型的精确解。在热力学极限下分析了单颗粒质谱，并明确展示了凝胶在系统中是如何出现的。
