Modeling of the small magnetic particles $\mathrm V_2\mathrm O_3$

The models for small particles of the manysublattice antiferromagnetic $\mathrm V_2\mathrm O_3$ are proposed and the processes of ordering and magnetisation are studied using Monte Carlo method. The distribution of spin density and local field on the volume of particles in the wide range of temperatures and external fields are investigated. These results are compared with data, which have been received for the system with periodic boundary conditions. Features characterizing the discontinuity phase transitions in the system with periodic boundary conditions are discovered.