We study the three-dimensional Edwards-Anderson model with binary interactions by Monte Carlo simulations. Direct evidence of finite-size scaling is provided, and the universal finite-size scaling functions are determined. Monte Carlo data are extrapolated to infinite volume with an iterative procedure for correlation lengths up to $\xi \approx 140$. The infinite-volume data are consistent with a conventional power-law singularity at finite temperature $T_c$. Taking into account corrections to scaling, we find $T_c=1.156\mathrm{}\pm 0.015$, $\nu =1.8\mathrm{}\pm 0.2$, and $\eta =-0.26\mathrm{}\pm 0.04$. The data are also consistent with an exponential singularity at finite $T_c$, but not with an exponential singularity at zero temperature.

• Received 10 February 1999

DOI:https://doi.org/10.1103/PhysRevLett.82.5128