Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-04-20
Phys. Rev. Lett. 83, 1672-1675 (1999)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 4 eps figures included; clarifications, modified references, to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.83.1672
The effect of open boundary conditions for four models with quenched disorder are studied in finite samples by numerical ground state calculations. Extrapolation to the infinite volume limit indicates that the configurations in ``windows'' of fixed size converge to a unique configuration, up to global symmetries. The scaling of this convergence is consistent with calculations based on the fractal dimension of domain walls. These results provide strong evidence for the ``two-state'' picture of the low temperature behavior of these models. Convergence in three-dimensional systems can require relatively large windows.
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