A generalization of the fundamental theorem of Brown for fine ferromagnetic particles

作者：Di Fratta G^*; Serpico C; d' Aquino M

来源：Physica B: Condensed Matter , 2012, 407(9): 1368-1371.

DOI：10.1016/j.physb.2011.10.010

• Micromagnetics
• Single Domain Particles
• Poincare inequality

In this paper we extend the Brown%26apos;s fundamental theorem on fine ferromagnetic particles to the case of a general ellipsoid. By means of Poincare inequality for the Sobolev space H-1 (Omega, R-3), and some properties of the induced magnetic field operator, it is rigorously proven that for an ellipsoidal particle, wi

• 出版日期2012-5-1