I've been working on numerically solving the Ising model in a study of phase transitions, but I'm having difficulty finding material to help me discuss the results. I'm studying spontaneous magnetisation.
Initially I thought spontaneous magnetisaion was a material randomly magnetising in a direction below the curie temperature, but from what I understand spontaneous magnetisation is just remenant magnetisation as an external field H -> 0 rather than a material randomly magnetising. Or is it both? What is the interpretation of the following images? An even spin distribution which becomes spin up (yellow) or spin down (blue) randomly below the curie temperature.
I have simulated the typical quantities eg susceptibility and have seen the critical exponent like behavior at the curie temperature, and also hysterisis at various temperatures showing no remenant magnetisation in the absence of external field.
The following simulations were just done out of interest with no real motivation. Are they physically meaningful as it'd be impossible to even obtain this initial configuration with an external field?
Thanks for your time
Yellow = spin up. Blue = spin down. Metropolois algorithm used. H = 0.