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Semiclassical Limit of the Schrödinger–Poisson–Landau–Lifshitz–Gilbert System

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Abstract

The Schrödinger–Poisson–Landau–Lifshitz–Gilbert (SPLLG) system is an effective microscopic model that describes the coupling between conduction electron spins and the magnetization in ferromagnetic materials. This system has been used in connection with the study of spin transfer and magnetization reversal in ferromagnetic materials. In this paper, we rigorously prove the existence of weak solutions to SPLLG and derive the Vlasov–Poisson–Landau–Lifshitz–Glibert system as the semiclassical limit.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Barbara, CA, 93106, USA

    Lihui Chai, Carlos J. García-Cervera & Xu Yang

  2. BCAM - Basque Center for Applied Mathematics, Mazarredo 14, 48009, Bilbao, Basque Country, Spain

    Carlos J. García-Cervera

Authors
  1. Lihui Chai
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  2. Carlos J. García-Cervera
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  3. Xu Yang
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Correspondence to Lihui Chai.

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Communicated by G. Friesecke

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Chai, L., García-Cervera, C.J. & Yang, X. Semiclassical Limit of the Schrödinger–Poisson–Landau–Lifshitz–Gilbert System. Arch Rational Mech Anal 227, 897–928 (2018). https://doi.org/10.1007/s00205-017-1177-1

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  • DOI: https://doi.org/10.1007/s00205-017-1177-1

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