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Tensorial character of magnetization diffusion in periodic lattices

Publication ,  Journal Article
Bouchard, LS; Warren, WS
Published in: Physical Review B - Condensed Matter and Materials Physics
January 1, 2004

Averaged Bloch equations for magnetization evolution in a biphasic heterogeneous material with periodic structures are derived using a two-scale asymptotic expansion. Upscaling of the partial differential equations with microscopic boundary conditions results in equations of motion for the magnetization vector that are functionally similar to the Bloch equations, but without microscopic boundaries, and with a tensorial term describing effective diffusion behavior. In the process we obtain a prescription for calculating individual components of the diffusion tensor by solving an auxiliary boundary-valued problem on the microscopic unit cell. This allows, in particular, numerical calculations of the diffusion tensor for arbitrary geometries of the unit cellin a reasonable computing time.

Duke Scholars

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

January 1, 2004

Volume

70

Issue

22

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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Bouchard, L. S., & Warren, W. S. (2004). Tensorial character of magnetization diffusion in periodic lattices. Physical Review B - Condensed Matter and Materials Physics, 70(22). https://doi.org/10.1103/PhysRevB.70.224426
Bouchard, L. S., and W. S. Warren. “Tensorial character of magnetization diffusion in periodic lattices.” Physical Review B - Condensed Matter and Materials Physics 70, no. 22 (January 1, 2004). https://doi.org/10.1103/PhysRevB.70.224426.
Bouchard LS, Warren WS. Tensorial character of magnetization diffusion in periodic lattices. Physical Review B - Condensed Matter and Materials Physics. 2004 Jan 1;70(22).
Bouchard, L. S., and W. S. Warren. “Tensorial character of magnetization diffusion in periodic lattices.” Physical Review B - Condensed Matter and Materials Physics, vol. 70, no. 22, Jan. 2004. Scopus, doi:10.1103/PhysRevB.70.224426.
Bouchard LS, Warren WS. Tensorial character of magnetization diffusion in periodic lattices. Physical Review B - Condensed Matter and Materials Physics. 2004 Jan 1;70(22).

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

January 1, 2004

Volume

70

Issue

22

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences