The computer simulation of small magnetic $\mathrm{Cr}_2\mathrm{O}_3$ particles dynamics

The computer simulation of small magnetic particles of the real manysublattice antiferromagnetic $\mathrm{Cr}_2\mathrm{O}_3$ has been carried out by means' of molecular dynamics method. The dynamics of spin system has been studied in ordered and disordered phases. Some analytical dependencies approximating the behaviour of autocorrelation function at various times are suggested. The thorough comparison of longitudinal and transversal autocorrelations has been made. Considerable differences in dynamical behaviour of surface and internal spins of magnetic particle were discovered. The influence of uniaxial anysotropy and external magnetic field upon the dynamics of separate spins and the particle on the whole has been studied.