See the following item: “Massively parallel symplectic algorithm for coupled magnetic spin dynamics and molecular dynamics” pdf document at:
https://www.google.com/search?source=hp&ei=lmwnXfmGLYSH0wK8yaTwBg&q=Massively+parallel+symplectic+algorithm+for+coupled+magnetic+spin+dynamics+and+molecular+dynamics&oq=Massively+parallel+symplectic+algorithm+for+coupled+magnetic+spin+dynamics+and+molecular+dynamics&gs_l=psy-ab.3..0.8551.8551..12145...0.0..0.647.647.5-1......0....2j1..gws-wiz.....0.tZssgBTV8MM There probably is an extension of the theory to nuclear spin coupling to lattice spin, buy it is in the dark literature from Sandia. In the 1960’s there was reported to be a rapid heating of large steel block Sandia was trying to magnetize. The block turned white hot in an instant, but did not melt. The research went dark. I can not find a reference to that work to this day. It may have been a resonant coupling of magnetic spin energy with the lattice. (Also it may have been rapid reaction of hydrogen in the lattice with iron.) Either way there should be a rtreport. Bob Cook