Damage spreading in a ferromagnetic cubic Ising system as a function of temperature and magnetic field

The time evolution of two ferromagnetic Ising cubic systems, which differ by the orientation of a single spin at t = 0, has been studied as a function of temperature T and magnetic field B by computer simulation. In a zero magnetic field, a chaotic temperature domain is observed for T > Ts ≈ 0.91 Tc. A “correlation transition” takes place at Tc as damage spreads in two uncorrelated configurations for T > Tc and in two correlated configurations below Tc. In the presence of a magnetic field, damage spreads for B < Bc which is well approximated by M(Bc, T) − − exp(−Tc/T) for 4.4 ⩽ T ⩽ 40. No relation with the Ising-correlated site percolation problem has been found.