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A Mean-field forest-fire model

2014
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Am. J. Probab. Math. Stat
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unpublished

We consider a family of discrete coagulation-fragmentation equations closely related to the one-dimensional forest-fire model of statistical mechanics: each pair of particles with masses i, j ∈ N merge together at rate 2 to produce a single particle with mass i + j, and each particle with mass i breaks into i particles with mass 1 at rate (i − 1)/n. The (large) parameter n controls the rate of ignition and there is also an acceleration factor (depending on the total number of particles) in

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