Stressed backbone and elasticity of random central-force systems

Details Stressed backbone and elasticity of random central-force systems Stressed backbone and elasticity of random central-force systems

1996-12-29

arxiv.org/abs/cond-mat/9612237v1

Physical Review Letters 75 (1995), 4055

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, uses epsfig

Scientific paper

10.1103/PhysRevLett.75.4055

We use a new algorithm to find the stress-carrying backbone of ``generic'' site-diluted triangular lattices of up to 10^6 sites. Generic lattices can be made by randomly displacing the sites of a regular lattice. The percolation threshold is Pc=0.6975 +/- 0.0003, the correlation length exponent \nu =1.16 +/- 0.03 and the fractal dimension of the backbone Db=1.78 +/- 0.02. The number of ``critical bonds'' (if you remove them rigidity is lost) on the backbone scales as L^{x}, with x=0.85 +/- 0.05. The Young's modulus is also calculated.

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