Calculation of the fractal dimension of aggregates
作者： Lech Gmachowski
DOI: 10.1016/S0927-7757(02)00278-9
关键词:
摘要: Abstract Simple determination of the fractal dimension as exponent in mass-radius relation is possible only when structure growing aggregates scale-invariant. If it not case, this method produces artifacts even if slope a log–log plot nearly constant. It shown that difference between and determined from significant for diffusion limited particle–cluster aggregates. The given aggregate can be its mass radius gyration using proposed dependence structural coefficient, prefactor relation.
elsevier.com
sci-hub.se 参考文章(15)
Benoit B. Mandelbrot, Plane DLA is not self-similar; is it a fractal that becomes increasingly compact as it grows? Physica A-statistical Mechanics and Its Applications. ,vol. 191, pp. 95- 107 ,(1992) , 10.1016/0378-4371(92)90511-N
P. Tang, J. Greenwood, J.A. Raper, A model to describe the settling behavior of fractal aggregates. joint international conference on information sciences. ,vol. 247, pp. 210- 219 ,(2002) , 10.1006/JCIS.2001.8028
Miriam Michiyo Takayasu, Fernando Galembeck, Determination of the Equivalent Radii and Fractal Dimension of Polystyrene Latex Aggregates from Sedimentation Coefficients Journal of Colloid and Interface Science. ,vol. 202, pp. 84- 88 ,(1998) , 10.1006/JCIS.1998.5428
Katsuya Honda, Hiroyasu Toyoki, Mitsugu Matsushita, A theory of fractal dimensionality for generalized diffusion-limited aggregation Journal of the Physical Society of Japan. ,vol. 55, pp. 707- 710 ,(1986) , 10.1143/JPSJ.55.707
Lech Gmachowski, Binary collision growth of supported metal catalyst particles Colloids and Surfaces A: Physicochemical and Engineering Aspects. ,vol. 197, pp. 183- 191 ,(2002) , 10.1016/S0927-7757(01)00890-1
A.M Brasil, T.L Farias, M.G Carvalho, U.O Koylu, Numerical characterization of the morphology of aggregated particles Journal of Aerosol Science. ,vol. 32, pp. 489- 508 ,(2001) , 10.1016/S0021-8502(00)00097-5
Lech Gmachowski, Estimation of the dynamic size of fractal aggregates Colloids and Surfaces A: Physicochemical and Engineering Aspects. ,vol. 170, pp. 209- 216 ,(2000) , 10.1016/S0927-7757(99)00532-4
Frédéric Gruy, Formation of Small Silica Aggregates by Turbulent Aggregation. joint international conference on information sciences. ,vol. 237, pp. 28- 39 ,(2001) , 10.1006/JCIS.2001.7432
Susan Tolman, Paul Meakin, Off-lattice and hypercubic-lattice models for diffusion-limited aggregation in dimensionalities 2-8. Physical Review A. ,vol. 40, pp. 428- 437 ,(1989) , 10.1103/PHYSREVA.40.428
W. Hess, H. L. Frisch, R. Klein, On the hydrodynamic behavior of colloidal aggregates European Physical Journal B. ,vol. 64, pp. 65- 67 ,(1986) , 10.1007/BF01313690