@article{PAR00013613,
  title = {{E}arth's inner core dynamics induced by the {L}orentz force},
  author = {{L}asbleis, {M}. and {D}eguen, {R}. and {C}ardin, {P}hilippe and {L}abrosse, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{S}eismic studies indicate that the {E}arth's inner core has a complex structure and exhibits a strong elastic anisotropy with a cylindrical symmetry. {A}mong the various models which have been proposed to explain this anisotropy, one class of models considers the effect of the {L}orentz force associated with the magnetic field diffused within the inner core. {I}n this paper, we extend previous studies and use analytical calculations and numerical simulations to predict the geometry and strength of the flow induced by the poloidal component of the {L}orentz force in a neutrally or stably stratified growing inner core, exploring also the effect of different types of boundary conditions at the inner core boundary ({ICB}). {U}nlike previous studies, we show that the boundary condition that is most likely to produce a significant deformation and seismic anisotropy is impermeable, with negligible radial flow through the boundary. {E}xact analytical solutions are found in the case of a negligible effect of buoyancy forces in the inner core (neutral stratification), while numerical simulations are used to investigate the case of stable stratification. {I}n this situation, the flow induced by the {L}orentz force is found to be localized in a shear layer below the {ICB}, whose thickness depends on the strength of the stratification, but not on the magnetic field strength. {W}e obtain scaling laws for the thickness of this layer, as well as for the flow velocity and strain rate in this shear layer as a function of the control parameters, which include the magnitude of the magnetic field, the strength of the density stratification, the viscosity of the inner core and the growth rate of the inner core. {W}e find that the resulting strain rate is probably too small to produce significant texturing unless the inner core viscosity is smaller than about 10(12) {P}a s.},
  keywords = {{N}umerical solutions ; {C}omposition of the core ; {S}eismic anisotropy},
  booktitle = {},
  journal = {{G}eophysical {J}ournal {I}nternational},
  volume = {202},
  numero = {1},
  pages = {548--563},
  ISSN = {0956-540{X}},
  year = {2015},
  DOI = {10.1093/gji/ggv155},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00013613},
}