Abstract
A new relation is given in percolation theory from which follows that the backbone of the incipient infinite cluster is made of singly-connected links and “blobs”, the number of links diverge with an universal exponent 1. It is also shown that this exponent characterizes the crossover exponent of the dilute s-state Potts model while for the n-vector model is given by the low density resistivity exponent.
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References
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Coniglio, A. (1981). Geometrical structure and thermal phase transition of the dilute s-state Potts and n-vector model at the percolation threshold. In: Castellani, C., Di Castro, C., Peliti, L. (eds) Disordered Systems and Localization. Lecture Notes in Physics, vol 149. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012544
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DOI: https://doi.org/10.1007/BFb0012544
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