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Magnetic properties of 2D systems of magnetic nanoobjects (2D regularlattices of the magnetic nanoparticles or magnetic nanostripes) are considered.The analytical calculation of the hysteresis curve of the system withinteraction between nanoobjects is provided. It is shown that during themagnetization reversal system passes through a number of metastable states. Thekinetic problem of the magnetization reversal was solved for three models. Thefollowing results have been obtained. 1) For 1D system (T=0) with thelong-range interaction with the energy proportional to $r^{-p}$, thestaircase-like shape of the magnetization curve has self-similar character. Thenature of the steps is determined by interplay of the interparticle interactionand coercivity of the single nanoparticle. 2) The influence of the thermalfluctuations on the kinetic process was examined in the framework of thenearest-neighbor interaction model. The thermal fluctuations lead to theadditional splitting of the steps on the magnetization curve. 3) Themagnetization curve for system with interaction and coercivity dispersion wascalculated in mean field approximation. The simple method to experimentallydistinguish the influence of interaction and coercivity dispersion on themagnetization curve is suggested.Comment: 22 pages, 8 figure

Hysteresis model with dipole interaction: Devil’s staircase like shape of the magnetization curve