Convergence of a ferromagnetic film model

نویسندگان

  • François Alouges
  • Stéphane Labbé
چکیده

In this note, we present a Γ-convergence type result for ferromagnetic films. We propose a model of films for which we could ensure the strong convergence of minimizers when the exchange parameter vanishes. In this model, the plate thickness is kept constant and the magnetization stays constant in the thickness of the film.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical Analysis of a Model for Ferromagnetic Shape Memory Thin Films

Abstract. We give a model for the deformation and magnetization of a single crystal ferromagnetic shape memory thin film under the influence of an applied magnetic field. The energy is nonconvex since it models multiple phases and symmetry-related variants of the crystal structure. Nonconvexity is also presented by the magnetic saturation condition which requires the magnetization to have a con...

متن کامل

Regularity in thin film micromagnetics and some of its generalisation

Micromagnetism is a paradigm for a pattern forming multi-scale system. The quantity to be predicted is the magnetization m : Ω → S 2 of a ferromagnetic sample Ω ⊂ R3. There are regions where the magnetisation varies slowly called domains which are 3D objects and those regions are seperated by transition layers known as domain walls which are 2D objects. There are in general three kinds of domai...

متن کامل

Stabilization of a degenerate minimization problem with the simple-layer potential

We consider the reduced model for thin-film devices in stationary micromagnetics proposed in [4, DeSimone, Kohn, Müller, Otto, Schäfer 2001]. In the case of soft material, one of the energy contributions is negligible, and the problem becomes degenerate. The analysis and the numerical scheme recently developed in [7, Ferraz-Leite, Melenk, Praetorius 2011] are not satisfactory in this case. In t...

متن کامل

Gilbert damping in magnetic layered systems

The Gilbert damping constant present in the phenomenological Landau-Lifshitz-Gilbert equation describing the dynamics of magnetization is calculated for ferromagnetic metallic films as well as Co/nonmagnet (NM) bilayers. The calculations are done within a realistic nine-orbital tight-binding model including spin-orbit coupling. The convergence of the damping constant expressed as a sum over the...

متن کامل

امواج اسپین و ناهمسانگردی تک جهتی در دولایه‌ایهای نازک فرومغناطیسپادفرومغناطیسی

  In this paper a simple model calculation of spin wave is given for the ferromagtic layer in ultra thin ferromagnetic/antiferromagnetic bilayer. In this model the magnetic layer is assumed as an isolated layer but the effect of antiferromagnetic layer on ferromagnetic layer and unidirectional anisotropy, is given in the effective field applied on each spin. The thin layer is assumed as two-dim...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006