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Infinite-cluster geometry in central-force networks

Cristian F. Moukarzel·Phillip M. Duxbury·P. L. Leath
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Abstract

We show that the infinite percolating cluster (with density P_inf) of central-force networks is composed of: a fractal stress-bearing backbone (Pb) and; rigid but unstressed ``dangling ends'' which occupy a finite volume-fraction of the lattice (Pd). Near the rigidity threshold pc, there is then a first-order transition in P_inf = Pd + Pb, while Pb is second-order with exponent Beta'. A new mean field theory shows Beta'(mf)=1/2, while simulations of triangular lattices give Beta'_tr = 0.255 +/- 0.03.

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BibTeXRIS

Cristian F. Moukarzel, Phillip M. Duxbury, P. L. Leath. 1996-12-29. Infinite-cluster geometry in central-force networks. https://doi.org/10.1103/physrevlett.78.1480

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