Numerical study of Thouless-Anderson-Palmer metastable states in three-body Ising spin glasses
Yukinori Tonosaki, Koujin Takeda, Yoshiyuki Kabashima
The distribution of solutions of the Thouless-Anderson-Palmer equation is studied by extensive numerical experiments for fully connected three-body interaction Ising spin glass models in a level of annealed calculation. A recent study predicted that when the equilibrium state of the system is characterized by one-step replica symmetry breaking, the distribution is described by a Becchi-Rouet-Stora-Tyutin (BRST) supersymmetric solution in the relatively low free energy region, whereas the BRST supersymmetry is broken for higher values of free energy [A. Crisanti et al., Phys. Rev. B 71, 094202 (2005)]. Our experiments qualitatively reproduce the discriminative behavior of macroscopic variables predicted by the theoretical assessment.
arXiv:cond-mat/0610171•Physical Review B•Mar 5, 2007•5 citations