Numerical Simulations and Replica Symmetry Breaking
Abstract
Use of dedicated computers in spin glass simulations allows one to equilibrate very large samples (of size as large as L=32) and to carry out "computer experiments" that can be compared to (and analyzed in combination with) laboratory experiments on spin-glass samples. In the absence of a magnetic field, the most economic conclusion of the combined analysis of equilibrium and non-equilibrium simulations is that an RSB spin glass phase is present in three spatial dimensions. However, in the presence of a field, the lower critical dimension for the de Almeida-Thouless transition seems to be larger than three.
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