Аннотация:We discuss a theoretical model that allows studying the magnetic properties of
atomic chains without using the KMC method. Within the Heisenberg model in the presence of
uniaxial magnetic anisotropy, formulas are obtained that allow one to estimate the spontaneous
magnetization reversal time of both ferromagnetic and antiferromagnetic chains. In the case of
the ferromagnetic chains, the presented method can be generalized to the case of a nonzero
external magnetic field. After that, the equation for the magnetization of the atomic chains can be obtained from the master equation. To obtain the magnetization curves, the equation for the magnetization can be easily solved numerically. In the case of the antiferromagnetic chains,we can calculate the magnetization reversal time of the chain during its interaction with an STM tip. This problem is related to the possible use of the antiferromagnetic chains for storing information.