File:PhysRevX.9.021060 fig2.png

English: The mean-field antiferromagnetic Ising model Mpemba-phase diagram. Upper panel: The phase diagram calculated for N=400 spins. There are eight different Mpemba phases in this system: (i) white; no direct or inverse Mpemba effects, (ii) blue; weak direct and no inverse effects, (iii) green; weak inverse and no direct effects, (iv) burgundy; strong inverse with IinvM=1 and no direct effects, (v) violet; strong inverse with IinvM=2 and no direct effects, (vi) light blue; strong inverse with IinvM=1 and weak direct effects, (vii) gray; strong direct with IdirM=1 and strong inverse with IinvM=1, and (viii) yellow; strong direct with IinvM=1 and weak inverse effects. The blue line is the antiferromagnetic-to-paramagnetic phase-transition line of this model calculated in Ref. [25]. Lower panel: The same calculation for N=70 spins. Although the exact location of the boundaries between the different phases is not identical in the two computations, the overall structure is the same. The three dashed lines are lines of constant magnetic field H=1.03, H=1, and H=0.97, and their corresponding equilibrium loci in the thermodynamic limit are given in Fig. 3. Note that the phase diagram has an abrupt jump at H=1, which corresponds to the jump in the equilibrium locus in Fig. 3.