Kinetic properties of small one-dimensional Ising magnetic

Within the framework of a generalized Ising model, a one-dimensional magnetic of a finite length with free ends is considered. The correlation length critical exponent $\nu $ and kinetic critical exponent z of the magnet is calculated taking into account the next nearest neighbor interactions and the external field. Of special interest are non-equilibrium processes taking place within the critical temperature interval, which are characterized critical exponent y and dynamic critical index $z$. Due to significant difficulties encountered in the experimental investigations (e.g., measurement of $z)$, a natural solution to this complex problem would be modeling of those non-eqilibrium processes. This work addresses non-equilibrium processes in one-dimensional magnetics. Using the Monte Carlo method, an equilibrium critical exponent of the correlation length $\nu $ and the dynamic critical index $z$ are calculated for a finite-size magnetic.