CONDENSED MATTER THEORY GROUP
Science Institute – University of Iceland
Heisenberg network in 3D, Landau-Lifshitz-Gilbert equation and Lyapunov stability - Sergey B. Leble
Heisenberg network in 3D, Landau-Lifshitz-Gilbert equation and Lyapunov stability - Sergey B. Leble
Starting with the Heisenberg network in 3D, we examine its connection with the Landau-Lifshitz-Gilbert equation of motion. The solutions of the conventional domain wall problems and their stability are analysed. The Lyapunov approach is used to derive the problem's basic parameters relations and possibility to establish the stability range.