Scaling of splay and total rigidity for elastic percolation on the triangular lattice.
نویسندگان
چکیده
The randomly diluted elastic network with central force interactions is simulated on the triangular lattice using a constraint analysis of cluster displacement vectors. The exponents for the percolation of splay and total rigidity are found to be the same, ν=1.14±0.1, γ=1.6±0.3, and β=0.46±0.4. The concentration of bonds that are in clusters rigid only with respect to a splay deformation is evaluated as a function of bond concentration. The area under the resulting distribution diminishes with lattice size as ∼L−1.1, indicating that splay and total rigidity have the same threshold, pc≊0.64.
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عنوان ژورنال:
- Physical review. B, Condensed matter
دوره 38 7 شماره
صفحات -
تاریخ انتشار 1988