We propose a continuum theory describing the evolution of magnetization and temperature in a rigid magnetic body. The theory is based on a microforce balance, an energy balance, and an entropy imbalance. We motivate the choice of a class of constitutive equations, consistent with the entropy imbalance, that appear appropriate to describe the phase transition taking place in a ferromagnet at the Curie point. By combining these constitutive equations with the balance laws, we formulate an initial-boundary value problem for the magnetization and temperature fields, and we prove existence of weak solutions.

Podio Guidugli, P., Tomassetti, G., Roubicek, T. (2008). A thermodynamically-consistent theory of the ferro/paramagnetic transition.

A thermodynamically-consistent theory of the ferro/paramagnetic transition

TOMASSETTI, GIUSEPPE;
2008-11-07

Abstract

We propose a continuum theory describing the evolution of magnetization and temperature in a rigid magnetic body. The theory is based on a microforce balance, an energy balance, and an entropy imbalance. We motivate the choice of a class of constitutive equations, consistent with the entropy imbalance, that appear appropriate to describe the phase transition taking place in a ferromagnet at the Curie point. By combining these constitutive equations with the balance laws, we formulate an initial-boundary value problem for the magnetization and temperature fields, and we prove existence of weak solutions.
7-nov-2008
en
Magnetic materials
Phase transitions
Thermodynamics of continua
Landau-Lifschitz-Gilbert equation
Heat equation with L^1 data
Podio Guidugli, P., Tomassetti, G., Roubicek, T. (2008). A thermodynamically-consistent theory of the ferro/paramagnetic transition.
Podio Guidugli, P; Tomassetti, G; Roubicek, T
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/683
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