Dynamics of magnetization of frustrated ising systems

The dynamics of magnetization in triangle lattices of the Ising chains has been investigated in terms of the Glauber theory. The results of three-dimensional numerical simulation of the magnetic structure and magnetization curves of Ca$_3$Co$_2$O$_6$ are presented. The structures of the low-temperature and high-temperature phases differ significantly: the false frustrated low-temperature phase is transformed into a partially disordered antiferromagnetic honeycomb structure. Two additional magnetization steps at low temperatures are formed at the expense of the domain structure and the ferrimagnetic phase. All fundamental hypotheses used in terms of the two-dimensional model have found their confirmation during the three-dimensional simulation.