TY - JOUR T1 - On Stability of Magnetization Dynamics in Nanoparticles JF - Magnetics, IEEE Transactions on Y1 - 2010 A1 - Mayergoyz, Issak D A1 - Serpico,C. A1 - Bertotti,G. KW - (electron);magnetic KW - DYNAMICS KW - ellipsoidal KW - field;magnetization KW - inequality;exchange KW - INTERACTIONS KW - magnetization KW - nanoparticles;spatially KW - nonuniform KW - oscillations;spin-wave KW - particles;magnetisation;nanoparticles;spin KW - perturbations;exchange KW - perturbations;spatially KW - Poincare KW - stability;small KW - uniform KW - waves; AB - It is rigorously demonstrated that spatially uniform magnetization oscillations in sufficiently small ellipsoidal nanoparticles can be unconditionally stable with respect to spatially nonuniform perturbations. The proof reveals the dominant stabilizing effect of exchange field which is mathematically manifested through the Poincare inequality. VL - 46 SN - 0018-9464 CP - 6 M3 - 10.1109/TMAG.2009.2039119 ER -