Monte Carlo simulation of the diffusion-limited aggregating process of particle suspension systems
Tóm tắt
The aggregating process of particle suspension systems is a very universal phenomena and crucial for various processes both in nature and in industry. In this paper, the aggregating process was simulated with offlattice diffusion-limited cluster-cluster aggregation (DLCA) Monte Carlo programs. The self-similar fractal structures of aggregates have been clearly demonstrated by the statistical analysis of gyration radius distribution and the existence of a scaling distribution of the reduced cluster size. The fractal dimension determined from the relationship between mass and gyration radius of aggregates was 1.80 or so. The fractal dimension of the aggregates drawn from the radial distribution function and structure factor of a single aggregate is about 1.90–2.10. It was also showed that, along with the increasing of particle volume fraction, the fractal dimension will increase in a nearly square root manner, and the spatial range of the fractal structure appearing becomes narrower. Also, the gelation transition can only occur in a particle suspension system where the particle volume fraction is greater than a critical value.
Tài liệu tham khảo
Benuzzi A, Koenig M, Krishnan J, Faral B, Nazarov W, Temporal M, Batani D, Muller L, Torsiello F, Hall T, Grandjouan N. Dynamics of laser produced shocks in foam-solid targets, Phys Plasma, 1998, 5(8): 2827–2829
Watt R G, Duke J, Fontes C J, Gobby P L, Hollis R V, Kopp R A, Mason R J, Wilson D C, Verdon C P, Boehly T R, Knauer J P, Meyerhofer D D, Smalyuk V, Town R P J, Iwase A, Willi O. Laser imprint reduction using a low-density foam buffer as a thermal smoothing layer at 351nm wavelength. Phys Rev Lett, 1998, 81(21): 4644–4647
Norimatsu T, Nagai K, Takaki T, Yamanaka T. Issues in capsule fabrication and injection into a wet-walled IFE reactor. Fusion Eng Design, 2001, 55(4): 387–396
Friedlander S K. Smoke, Dust and Haze: Fundamentals of Aerosol Dynamics. 2nd Ed. Oxford: Oxford University Press, 2000
Family F, Landau D P. Kinetics of Aggregation and Gelation. Amsterdam: North-Holland, 1984
Kim A Y, Hauch K D, Berg J C, Martin J E, Anderson R A. Linear chains and chain-like fractals from electrostatic heteroaggregation. J Coll Int Science, 2003, 260(1): 149–159
Dhaubhadel R, Pierce F, Chakrabarti A, Sorensen C M. Hybrid superaggregate morphology as a result of aggregation in a clusterdense aerosol. Phys Rev E, 2006, 73: 011404
Hasmy A, Jullien R. Sol-gel process simulation by cluster-cluster aggregation. J of Non-Cryst Solids, 1995, 186: 342–348
González A E, Ramirez-Santiago G. Spatial ordering and structure factor scaling in the simulations of colloid aggregation. Phys Rev Lett, 1995,74: 1238–1241
Weitz D A, Huang J S, Lin M Y, Sung J. Dynamics of diffusion-limited kinetic aggregation. Phys Rev Lett, 53, 1984: 1657–1660
Martin J E, Keefer K D. Scattering below the sol-gel transition. Phys Rev A, 1986, 34: 4988–4992
Broide M L, Cohen R J. Experimental evidence of dynamic scaling in colloidal aggregation. Phys Rev Lett, 1990, 64: 2026–2029
Carpineti M, Giglio M. Spinodal-type dynamics in fractal aggregation of colloidal clusters. Phys Rev Lett, 1992, 68: 3327–3330
Bibette J, Mason T G, Gang H, Weitz D A. Kinetically induced ordering in gelation of emulsions. Phys Rev Lett, 1992, 69: 981–984
González Agustín E. Universality of colloid aggregation in the reaction limit: the computer simulations. Phys Rev Lett, 1993, 71: 2248–2251
Lach-hab M, Gonzalez A E, Blaisten-Barojas E. Concentration dependence of structural and dynamical quantities in colloidal aggregation: computer simulations. Physical Review E, 1996, 54(5): 5456–5462
Vicsek T. Fractal Growth Phenomena. 2nd Ed. Singapore: World Scientific, 1992, 215–223
Gimel J C, Durand D, Nicolai T. Transition between flocculation and percolation of a diffusion-limited cluster-cluster aggregation process using three-dimensional Monte Carlo simulation. Physical Review B, 1995, 51(17): 11348–11357
Pierce F G. Aggregation in colloids and aerosols. Dissertation for the Doctoral Degree. Kansas: Kansas State University, 2007, 34–37
Allen M P, Tildesley D J. Computer Simulation of Liquids. Oxford: Clarendon Press, 1989, 149–152
Lach-hab M, Gonzalez A E, Blaisten-Barojas E. Structure function and fractal dimension of diffusion-limited colloidal aggregates. Physical Review E, 1998, 57(4): 4520–4527
van Dongen P G J, Ernst M H. Dynamic scaling in the kinetics of clustering. Phys Rev Lett, 1985, 54: 1396–1399