Phase diagram and reentrance for the 3D Edwards-Anderson model using information theory

Data compressor techniques are used to study the phase diagram of the generalized Edwards-Anderson model in three dimensions covering the full range of mixture between ferromagnetic (concentration 1-x) and antiferromagnetic interactions (concentration x). The recently proposed data compressor wlzip is used to recognize criticality by the maximum information content in the files storing the simulation processes. The method allows not only the characterization of the ferromagnetic to paramagnetic (FP) transition (x<0.22, or x>0.78) but also it equally well yields the spin-glass to paramagnetic (SP) transition (0.22<x<0.78). A reentrance of a ferromagnetic phase into the spin-glass phase is found in the vicinity of the multicritical point. The differences in the ways to apply the new method to FP and SP transitions are reported. A phase diagram for the entire range of x based entirely on the use of compression techniques is obtained and discussed. The advantages and disadvantages of the method of data compression as compared to other methods to deal with magnetic phase transitions are brought out and explained.