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Evolution of Fractal Particles in Systems with Conserved Order Parameter

Published online by Cambridge University Press:  10 February 2011

S.V. Kalinin
Affiliation:
Dept. of Chemistry, Moscow State University, 119899, Moscow, RUSSIA
D.L. Gorbachev
Affiliation:
UVD Sakhalinskoi Oblasti, Sakhalin, RUSSIA
K.V. Tomashevitch
Affiliation:
Dept. of Chemistry, Moscow State University, 119899, Moscow, RUSSIA
A.Yu. Borisevich
Affiliation:
Dept. of Chemistry, Moscow State University, 119899, Moscow, RUSSIA
A.A. Vertegel
Affiliation:
Dept. of Chemistry, Moscow State University, 119899, Moscow, RUSSIA
A.J. Markworth
Affiliation:
Dept. of Mat. Sci. Eng., The Ohio State University, 2041 College Rd., Columbus, Ohio 43210
Yu. D. Tretyakov
Affiliation:
Dept. of Chemistry, Moscow State University, 119899, Moscow, RUSSIA
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Abstract

In the present research, the evolution of fractal aggregates in systems with conserved order parameter is studied. The aggregates are generated by diffusion limited aggregation (DLA). This model describes such important processes as annealing of dendrite inclusions in solids, healing of cracks in ceramics, temperature-induced transformations in composites, relaxation of rough surfaces, aging of colloid particles, etc. It is shown that the evolution in fractal media differs significantly from the evolution from the initially homogeneous state and leads to the different values of the scaling exponent.

Type
Research Article
Copyright
Copyright © Materials Research Society 1999

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References

1. Mandelbrot, B.B., The Fractal Geometry of Nature, San Francisco, Freeman (1982).Google Scholar
2. Fractals and Disordered Systems, Eds. Bunde, A., Havlin, S., Springer-Verlag (1992).Google Scholar
3. The Fractal Approach to Heterogeneous Chemistry, Ed. Avnir, D., John Wiley (1988).Google Scholar
4. Havlin, J.S., Ben-Avraham, D., Adv. Phys., 36, 695798 (1987).Google Scholar
5. Sahimi, M., J. Chem. Eng., 64, 2144 (1996).Google Scholar
6. Giona, M., Schwalm, W.A., Schwalm, M.K., Adrover, A., Chem. Eng. Sci., 51, 47174729 (1996), 51, 4731-4744 (1996), 51, 5065-5076 (1996).Google Scholar
7. Wang, Y., Chen, L.Q., Khachaturyan, A.G., in Kirchner, H.O. et al. (eds.) Computer Simulations in Materials Science, 325–371, Kluwer (1996).Google Scholar
8. Bray, A.J., Adv. Phys., 43, 357459 (1994).Google Scholar
9. Cahn, J.W., Hilliard, J.E., J. Chem. Phys., 28, 258267 (1958).Google Scholar
10. Lifshitz, I.M., Slyozov, V.V., Zh. Exp. Teor. Phys, 35, 479488 (1958) (in Russian).Google Scholar
11. Ramirez-Santiago, G., Gonzalez, A.E., Physica A, 236, 7584 (1997).Google Scholar
12. Gunton, J.D., Miguel, M. San, Sahni, P.S., in Phase Transitions, eds. Domb, C., Lebowitz, J.E., 267466, Academic Press, London (1983).Google Scholar