ISSN:
0392-6737
Keywords:
Renormalization-group, fractal, and percolation studies of phase transitions
;
Fluctuation phenomena, random processes, and Brownian motion
;
Conference proceedings
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Summary Diffusion of a fractal cluster of dimensiond f in a three-dimensional space is investigated. The diffusion process is assumed to be modelled by a standard parabolic diffusion equation, although a more general case represented by the Fokker-Planck-Kolmogoroff equation is also introduced. The mean-square displacement of the cluster mass centre is analysed and its anomalous behaviour is presented and critically discussed. The results obtained can be applied to describe some effects which may occur during the diffusion-limited cluster-cluster aggregation process, especially when the viscosity of the solvent is changed in time and/or a directed transport of clusters is present in the system.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02458811
