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Sequential partitioning: an alternative to understanding size distributions of avalanches in first-order phase transitions

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We study the problem of the partition of a system of initial size V into a sequence of fragments s1,s2,s3 . . . . By assuming a scaling hypothesis for the probability p(s;V) of obtaining a fragment of a given size, we deduce that the final distribution of fragment sizes exhibits power-law behavior. This minimal model is useful to understanding the distribution of avalanche sizes in first-order phase transitions at low temperatures.

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FRONTERA BECCARIA, Carlos, et al. Sequential partitioning: an alternative to understanding size distributions of avalanches in first-order phase transitions. Physical Review E. 1995. Vol. 52, num. 5671-5674. ISSN 1063-651X. [consulted: 28 of May of 2026]. Available at: https://hdl.handle.net/2445/18761

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