Mass Surface And Pore Fractals

Environmental particles, microbial colonies, and even patterns of movement of organisms can be characterized in terms of several different fractal dimensions [14] (Table 1.1). The fractal dimension of the surface DS (boundary/interface) of a solid structure is obviously an important characteristic, but many of the physical properties of solids also depend on the scaling behavior of the entire solid and/or of its pores. Systems where surface and mass scale similarly are termed 'mass fractal' systems, those where surface and the pore volumes scale similarly are described as 'pore fractals' and systems where only the surface is fractal are designated as 'surface fractals' (Table 1.1; Figure 1.2).

Table 1.1 Classification of fractal objects based on surface (DS), mass (DM) and pore (DP) fractal dimensions [14]. Reproduced with permission of Academic Press, London

Classification

ds

dm

dp

Characteristics

Surface fractal

Da

db

d

The interface is fractal, but the actual object and

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