Web Results

en.wikipedia.org/wiki/Lev_Landau

A rank of 1 was awarded to the founding fathers of quantum mechanics, Niels Bohr, Werner Heisenberg, Paul Dirac and Erwin Schrödinger, and others. Landau ranked himself as a 2.5 but later promoted himself to a 2. David Mermin, writing about Landau, referred to the scale, and ranked himself in the fourth division, in the ...

arxiv.org/pdf/0803.0599

A non-conventional finite element formalism is proposed to solve the dynamic Landau-Lifshitz-Gilbert micromagnetic equations. ... functions φ by m×w, such as m⋅w=0, without loss of generality. Taking into account these, a new weak form ( WF2 hereafter) is obtained from (3), again only for the exchange term: (. ) 2. Ω 0. ex.

arxiv.org/pdf/1101.1005

Jan 5, 2011 ... 2. Lakshmanan. Landau and Lifshitz (1935) introduced the basic dynamical equation for magneti- zation or spin S( r, t) in bulk materials, where the effect of relativistic interactions were also included as a damping term. In 1954, Gilbert ( 2004) introduced a more convincing form for the damping term, based ...

academic.oup.com/amrx/article/2013/1/1/166689

-adapted Wiener process (W(t))t≥0. Let us observe that since we assume that forumla the map G defined by. formula. (2.1). is well defined and, see for instance [8], we have, at least on an informal level, the following equality relating the Stratonovich and Itô differentials:.

academic.oup.com/amrx/article-pdf/2013/1/1/397027/abs009.pdf

Apr 19, 2012 ... Weak Solutions of a Stochastic Landau–Lifshitz–Gilbert. Equation ... therein, and further developed by Landau and Lifshitz [28] and Gilbert [18]. ..... For T ∈ (0, ∞), there exists a weak martingale solution (Ω, F, (Ft)t∈[0,T], P, W, u) to Equation (1.7 ) such that. (a) we have. E. ∫ T. 0. |(u× Δu)(t)|2. L2 dt < ∞.

www.ms.uky.edu/~cywang/rnm012.pdf

2. ∫. Ω |∇u|2 for magnetic moment u : Ω ⊂ Rn → S2, the Landau-Lifshitz-Gilbert equation for u : Ω × (0, +∞) → S2 is given by αut + βu ∧ ut = ∆u + |∇u|2u, .... + |w| 2. = 1} → S2 be the Hopf map. Let Φλ(x) = λx : R3 → R3 be the dilation map for λ > 0, Π : S3 → R3 be the sterographic projection map from the north pole, and ...

www.researchgate.net/publication/265469172_Self-similar_solutions_of_the_one-dimensional_Landau-Lifshitz-Gilbert_equation

Sep 12, 2014 ... Download full-text PDF. Self-similar solutions of the one-dimensional. Landau– Lifshitz–Gilbert equation. Susana Gutiérrez1and André de Laire2. Abstract. We consider the one-dimensional Landau–Lifshitz–Gilbert (LLG) equation, a model des-. cribing the dynamics for the spin in ferromagnetic materials.

discovery.ucl.ac.uk/1517573/2/Green_PhysRevA.94.062106.pdf

Dec 9, 2016 ... a thermal bath that generalizes the dissipative model of Landau-Lifshitz-Gilbert to the case of anisotropic bath ... II. ANISOTROPIC DISSIPATION OF FLUX QUBITS. A superconducting flux qubit will couple to its environment in various ways. The environmental degrees of ...... Garg, and W. Zwerger, Rev. Mod ...

link.springer.com/article/10.1007/s11425-017-9146-x

We prove that in dimensions three and higher the Landau-Lifshitz-Gilbert equation with small initial data in the critical Besov space is globally well-posed in a uniform way with respect to the Gilbert damping parameter. Then we show that the global solution converges to that of the Schrödinger maps in the natural space as ...