Monte Carlo simulation of the two-dimensional random ( ± J ) Ising model

作者: W. L. McMillan

DOI: 10.1103/PHYSREVB.28.5216

关键词: Monte Carlo method in statistical physicsMonte Carlo methodSquare-lattice Ising modelAbsolute zeroDynamic Monte Carlo methodSpin glassPhase transitionCondensed matter physicsPhysicsIsing model

摘要: A Monte Carlo simulation of the two-dimensional random ($\ifmmode\pm\else\textpm\fi{}J$) Ising model has characterized equilibrium and dynamic behavior model. The spin-glass correlation length diverges algebraically with absolute temperature. equilibration time obeys an Arrhenius law at low There is a "phase transition zero temperature" glass finite In frequency ($f$) regime noise power spectrum proportional to $\frac{1}{{f}^{(1+\ensuremath{\alpha})}}$ $\ensuremath{\alpha}=0.28$.

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