A thermodynamical model for paleomagnetism in Earth’s crust

0578836 - ÚT 2024 RIV GB eng J - Journal Article
Roubíček, Tomáš
A thermodynamical model for paleomagnetism in Earth’s crust.
Mathematics and Mechanics of Solids. Roč. 28, č. 4 (2023), s. 1063-1090. ISSN 1081-2865. E-ISSN 1741-3028
R&D Projects: GA ČR(CZ) GA19-04956S; GA MŠMT(CZ) EF15_003/0000493
Institutional support: RVO:61388998
Keywords : thermo-viscoelasticity * creep * euler description * ferro-paramagnetic transition * melting * solidification * objective time derivatives * weak solutions * equations
OECD category: Applied mathematics
Impact factor: 2.6, year: 2022
Method of publishing: Limited access
https://journals.sagepub.com/doi/abs/10.1177/10812865221093281

A thermodynamically consistent model for soft deformable viscoelastic magnets is formulated in actual space (Eulerian) coordinates. The possibility of a ferro-paramagnetic-type (or ferri-antiferromagnetic) transition exploiting the Landau phase-transition theory as well as mechanical melting or solidification is considered, being motivated and applicable to paleomagnetism (involving both thermo- and isothermal and viscous remanent magnetization) in rocks in Earth’s crust and to rock-magma transition. The temperature-dependent Jeffreys rheology in the deviatoric part combined with the Kelvin-Voigt rheology in the spherical (volumetric) part is used. The energy balance and the entropy imbalance behind the model are demonstrated, and its analysis is performed by time discretization, proving existence of weak solutions.
Permanent Link: https://hdl.handle.net/11104/0347938