Expressions for Aging of Fractal Systems

Aging processes such as random bond breaking and ring formation induce changes in the (fractal) properties of the system such as  

several changes in the fractal properties appear simultaneously. Using the modified system parameters, an expression equivalent to Eq. (9.5) can be written down for the aged system  

Equations (9.5) and (9.12) allow us to relate the fractal properties of non-aged and aged-aggregates. 

When a fractal system shrinks homogeneously, the upper length scale of fractality L will decrease to L. The density of the aggregate will increase from p to p. The lower 

We will analyze simulation results of one particular kind of aging, called shaking. Bond breaking and monomer fusion are not allowed for. The monomers within an aggregate are moved (shaken) with respect to each other. When monomers overlap, an additional bond is formed. 

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