Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework

Tranchida, Julien; Thibaudeau, Pascal; Nicolis, Stam

doi:10.1103/PhysRevE.98.042101

Hierarchies of Landau-Lifshitz-Bloch equations for nanomagnets: A functional integral framework

Journal Article · Mon Oct 01 00:00:00 EDT 2018 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.98.042101· OSTI ID:1477321

Tranchida, Julien ^[1]; Thibaudeau, Pascal ^[2]; Nicolis, Stam ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
CEA DAM/Le Ripault, Monts (France)
Univ. d'Orleans (France)

We propose a functional integral framework for the derivation of hierarchies of Landau-Lifshitz-Bloch (LLB) equations that describe the flow toward equilibrium of the first and second moments of the magnetization. The short-scale description is defined by the stochastic Landau-Lifshitz-Gilbert equation, under both Markovian or non-Markovian noise, and takes into account interaction terms that are of practical relevance. Depending on the interactions, different hierarchies on the moments are obtained in the corresponding LLB equations. Two closure Ansätze are discussed and tested by numerical methods that are adapted to the symmetries of the problem. Our formalism provides a rigorous bridge between the atomistic spin dynamics simulations at short scales and micromagnetic descriptions at larger scales.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1477321

Alternate ID(s):: OSTI ID: 1475088

Report Number(s):: SAND--2018-10424J; 668215

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 4 Vol. 98; ISSN PLEEE8; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Dynamic magnetostriction for antiferromagnets Nussle, Thomas; Thibaudeau, Pascal; Nicolis, Stam Physical Review B, Vol. 100, Issue 21 https://doi.org/10.1103/physrevb.100.214428	journal	December 2019
Probing magneto-elastic phenomena through an effective spin-bath coupling model Nussle, Thomas; Thibaudeau, Pascal; Nicolis, Stam The European Physical Journal B, Vol. 92, Issue 2 https://doi.org/10.1140/epjb/e2019-90539-6	journal	February 2019
Probing magneto-elastic phenomena through an effective spin-bath coupling model Nussle, Thomas; Thibaudeau, Pascal; Nicolis, Stam arXiv https://doi.org/10.48550/arxiv.1809.05942	text	January 2018

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