科研之友
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摘要
The presence of a random magnetic field in ferromagnetic systems leads, in the broken phase, to an anomalous 0(root 1/N) convergence of some thermodynamic quantities to their asymptotic limits. Here we show a general method, based on the replica trick, to compute analytically the 0(root 1/N) finite size correction to the average free energy. We apply this method to two mean field Ising models, fully connected and random regular graphs, and compare the results to exact numerical algorithms We argue that this behaviour is present in finite dimensional models as well.
- 出版日期2014-10
