Scaling Laws of the Nonlinear Part of Magnetization in the SK Model of Spin Glasses

Abstract
The scaling laws of the nonlinear parts of magnetization are studied both in the Ising SK model and in the m-vector SK model. In the vicinity of the spin glass critical point (TSG for the Ising model and the GT line TGT (H1) for the m-vector model) the self-consistent equations of the SK models are skeletonized to the simple scaling equations of state to obtain the scaling functions explicitly in these models. A general form of the scaling function is also conjectured.

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