A simple model of restructuring for loopless clusters is presented in which single-bonded particles may escape from the cluster and diffuse in space until they reach the cluster again. In its steady-state regime, this model defines a new statistics of clusters at equilibrium with a fractal dimension D=1.54±0.08 in two dimensions estimated by direct simulations. Comparisons are made with out-of-equilibrium diffusion-limited aggregation and with at-equilibrium statistics of animals.
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Botet et al. (1985) studied this question.
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