# Bond and site percolation in three dimensions.

@article{Wang2013BondAS, title={Bond and site percolation in three dimensions.}, author={Junfeng Wang and Zongzheng Zhou and Wei Zhang and Timothy M. Garoni and Youjin Deng}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={87 5}, pages={ 052107 } }

We simulate the bond and site percolation models on a simple-cubic lattice with linear sizes up to L=512, and estimate the percolation thresholds to be p(c)(bond)=0.24881182(10) and p(c)(site)=0.3116077(2). By performing extensive simulations at these estimated critical points, we then estimate the critical exponents 1/ν=1.1410(15), β/ν=0.47705(15), the leading correction exponent y(i)=-1.2(2), and the shortest-path exponent d(min)=1.3756(3). Various universal amplitudes are also obtained…

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