Replica cluster variational method: the replica symmetric solution for the 2D random bond Ising model

摘要: We present and solve the replica symmetric equations in context of cluster variational method for 2D random bond Ising model (including Edwards–Anderson spin-glass model). First, we a linearized version these to obtain phase diagrams on square triangular lattices. In both cases, transition temperatures multicritical point estimations improve largely over Bethe predictions. Moreover, show that this diagram is consistent with behavior inference algorithms single instances problem. Finally, consistently find approximate solutions glassy phase. The applied lattice down T = 0, also presence an external field.