Spin Chaos Dynamics in Classical Random Dipolar Interactions

The stochastic nature of magnetization dynamics of dipole-dipole interactions described by the Landau-Lifshitz-Gilbert equation without considering the Gilbert damping parameter is investigated. It is shown that the occurrence of the complex dynamic states depends on the spatial anisotropy of interactions on one hand and the lattice geometry on the other. It is observed from the higher-order moments of the magnetization fluctuations that two significant dynamical regimes, regular and chaos, may be obtained depending on the perturbation strength. Relying on the Hurst exponent obtained by the standard deviation principle, the correlation and persistence of the magnetization fluctuations are analyzed. The results also exhibit a transition from an anti-correlated to a positively correlated system as the relevant parameters of the system vary.

Automated summary

The study investigates the stochastic nature of magnetization dynamics of dipole-dipole interactions described by the Landau-Lifshitz-Gilbert equation without considering the Gilbert damping parameter. It is found that the occurrence of complex dynamic states depends on the spatial anisotropy of interactions and the lattice geometry. The higher-order moments of the magnetization fluctuations reveal two significant dynamical regimes, regular and chaos, depending on the perturbation strength. The correlation and persistence of the magnetization fluctuations are analyzed using the Hurst exponent obtained by the standard deviation principle, showing a transition from an anti-correlated to a positively correlated system as the relevant parameters vary.