A modified CCA model describing gelation processes |
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| Institution: | 1. NCSA, University of Illinois at Urbana–Champaign, 1205 W. Clark St., Urbana, IL 61801, USA;2. CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;3. Institute of Systems and Robotics, Department of Electrical and Computer Engineering, University of Coimbra, Polo 2 - Pinhal de Marrocos, 3030-290 Coimbra, Portugal;4. IFPA, Dép. AGO, Quartier Agora, 19A Allée du 6 août, Bât B5a, Université de Liège, 4000 Liège, Belgique;1. Institut für theoretische Physik, ETH Zürich, Wolfgang-Paulistr. 27, CH-8093, Switzerland;2. Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE, United Kingdom |
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| Abstract: | In order to simulate a gelation process that occurs by condensation-polymerization reactions in solution, the cluster–cluster aggregation (CCA) model is modified by introducing four- and two-functional units as monomers. The modified CCA model shows a clear dependence of the fractal dimension of the resulting gel structure on the ratio between the numbers of the four- and two-functional units. The model should be applicable to various real systems. For example, it explains the behavior of experimentally found fractal dimension that depends on the amount of water added in the sol–gel aggregation process of SiO2 systems. |
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