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The Landau-Lifshitz-Gilbert equation driven by Gaussian ... - Tel - Hal

tel.archives-ouvertes.fr/tel-01265433/document

Feb 1, 2016 ... Antoine Hocquet. The Landau-Lifshitz-Gilbert equation driven by Gaussian noise. Analysis of. PDEs [math. .... (ii-a) Formule de l'énergie, existence de solutions faibles . . . . . . . . . . . 10 .... (4.d) Decomposition of “∇⊥β1 · ∇w”.

NUMERICAL APPROXIMATION OF THE LANDAU-LIFSHITZ ...

portal.uni-freiburg.de/aam/abtlg-en/ls/lsbartels/publ/articles/bakopr08.pdf

May 5, 2005 ... The Landau-Lifshitz-Gilbert equation (LLG) records the exchange interaction ... of Alouges and Soyeur [2] who have made use of the definition of weak .... The fact that w·u = 0 and ut ·u = 0 almost everywhere in Ω motivates an ...

ams.org - Joint Mathematics Meetings

www.jointmathematicsmeetings.org/mcom/2008-77-262/S0025-5718-07-02079-0/S0025-5718-07-02079-0.pdf

Oct 29, 2007 ... The Landau-Lifshitz-Gilbert equation (LLG) records the exchange interaction between ... Amongst these is the work of Alouges and Soyeur [2] who have made use of the .... We replace w = u × φ and integrate by parts to verify.

Constraint Preserving, Inexact Solution of Implicit Discretizations of ...

portal.uni-freiburg.de/aam/abtlg-en/ls/lsbartels/publ/proceedings/bart06-proc.pdf

Landau–Lifshitz–Gilbert Equations and Consequences for Convergence ... (2) and reads: Given ˜mj h ∈ Vh compute ˜mj+1 h. ∈ Vh such that for all w ∈ Vh.

Explicit square conserving schemes of Landau-Lifshitz equation with ...

link.springer.com/content/pdf/10.1007/BF02438367.pdf

the Landau-Lifshitz equation with Gilbert component. ... where w = 2 x k2sin( a ), ( a, b, c ) E R 3 is right hand unit orthogonal vector, a, k is arbitary real number.

A THIN-FILM LIMIT IN THE LANDAU-LIFSHITZ-GILBERT ...

www.cmls.polytechnique.fr/perso/miot.evelyne/CIM.pdf

under the flow of the Landau-Lifshitz-Gilbert equation. 1. Introduction ... Explicitly solving (3) by use2 of the Fourier transform F(·), the stray-field energy can be.

THIN-FILM LIMITS FOR LANDAU-LIFSHITZ-GILBERT EQUATIONS ...

citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.595.9862&rep=rep1&type=pdf

The second dynamic regime (W) has been considered in [7] in case of a ... 2. L2 dt + Etot(m)(T) ≤ lim inf h→0. Eh(mh. 0 ) for approximate initial values mh ... The evolution law given by Landau-Lifshitz-Gilbert equations is a quasi-static one.

Geometrical integration of Landau-Lifshitz-Gilbert equation based ...

dl.acm.org/citation.cfm?id=1111034

Nov 1, 2005 ... Volume 209 Issue 2, 1 November 2005 .... Landau-Lifshitz-Gilbert (LLG) equation is the fundamental equation to describe .... Binasch, G., Gruenberg, P., Saurenbach, F. and Zinn, W., Enhanced magnetoresistance in layered ...

convergence of an implicit - ETH Zürich

www.sam.math.ethz.ch/fim/preprints/2005/prohl3.pdf

The Landau-Lifshitz-Gilbert equation describes dynamics of ferromagnetism, ..... This bound yields the existence of some m ∈ W 1,2(Ω;R3) which is the weak ...

Hopf bifurcation in Landau-Lifshitz-Gilbert dynamics with a spin torque

opus4.kobv.de/opus4-matheon/files/402/4259_llg_paper.pdf

Jul 3, 2007 ... Based on the following Landau-Lifshitz-Gilbert equation mt = m × (α mt − γ heff ... In [2], results are presented for a system with a spin torque term of the form β m × m × j ...... eigenvector v and adjoint eigenvector w. Then if the ...

Helpful Resources

Innovative Weak Formulation for The Landau-Lifshitz-Gilbert ... - arXiv

arxiv.org

Index Terms— Finite Element Methods, Landau-Lifshitz-Gilbert Equations, .... w. v m v. m w. (4). The main advantage of WF2 is that the constraint (2) is implicitly ...

Stochastic Spin Dynamics & Langevin-Landau-Gilbert Simulations 1 ...

www.phys.ksu.edu

finding methods for integrating the Landau-Gilbert equation of ..... w(t) = S2(S2 − S2 z (0)). (S cosh y + Sz(0) sinh y)2. (1.38). If all is correct, the identity w(t) + S2.

(2007) "Finite Time Singularity of the Landau-Lifshitz-Gilbert Equation,"

www.ms.uky.edu

Ω |∇u|2 for magnetic moment u : Ω ⊂ Rn → S2, the Landau-Lifshitz-Gilbert .... + | w|2. = 1} → S2 be the Hopf map. Let Φλ(x) = λx : R3 → R3 be the dilation map ...

Stochastic Landau-Lifshitz-Gilbert Equation - Isaac Newton Institute ...

www.newton.ac.uk

Mar 29, 2010 ... Energy functional II. Landau-Lifschitz 1935, Gilbert 1955 a1. 2. ∫. D. |∇φ|2dx .... (Ω, ¿, (¿t )t≥0, P, W, u) is a solution to (2) if for every T > 0 and.

An iterative approximation scheme for the Landau–Lifshitz–Gilbert ...

www.sciencedirect.com

The evolution is governed by the Landau–Lifshitz–Gilbert (LLG) equation ... 2. Approximation scheme. For ease of exposition we put α=K=1 and γ=2 in the ..... If w(t) and v(t) are any vector fields with bounded derivatives with respect to the time ...