Order-Disorder Transition Under Shearing : Application to Ball Milling
AbstractThe evolution under sustained shear of an ordered crystal with B2 structure is studied by Monte-Carlo simulation: the effect of shearing is modelled by shifts of atomic planes, while thermally activated atomic diffusion is promoted by the motion of one vacancy. The tricritical point expected in the dynamical phase diagram from mean field theories and from Monte-Carlo simulations in the limit of weak driving (few atoms shifted at once) does not appear in such simulations, much in the same way as for "large cascade size" in alloys under irradiation. However an unexpected bifurcation in microstructures is observed which could be related to the order-disorder transition experimentally observed under ball-milling.
Hubbard model on the honeycomb lattice: From static and dynamical mean-field theories to lattice quantum Monte Carlo simulations