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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 [3], 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.