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A study is presented of migration of optical or magnetic excitations on structures with fractal geometry, which terminates upon reaching a trapping site. The theory is based on the extension of results from the theory of random walks to systems without translational invariance, together with the use of scaling concepts. For the case of an excitation which resides on one type of atom in a randomly mixed crystal near the percolation threshold, new power laws for the time and concentration dependence of the number of distinct sites visited in time t and of the number of excitations that are not yet trapped are obtained.
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Itzhak Webman (1984) studied this question.
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