Infinite-cluster geometry in central-force networks
نویسنده
چکیده
We show that the infinite percolating cluster (with density P∞) 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 p∗, there is then a first-order transition in P∞ = PD +PB, while PB , is second-order with exponent β ′ A new mean field theory shows β mf = 1/2, while simulations of triangular lattices give β ′ t = 0.255±0.03. Pacs numbers 61.43Bn, 46.30.Cn, 05.70.Fh Permanent address: Instituto de F́ısica, Universidade Federal Fluminense, Niteroi RJ, Brazil. e-mail: [email protected]
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