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Please use this identifier to cite or link to this item:
http://hdl.handle.net/2108/683
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| DC Field | Value | Language |
|---|
| contributor.author | Podio-Guidugli, Paolo | - |
| contributor.author | Roubicek, Tomas | - |
| contributor.author | Tomassetti, Giuseppe | - |
| date.accessioned | 2008-11-07T18:44:02Z | - |
| date.available | 2008-11-07T18:44:02Z | - |
| date.issued | 2008-11-07T18:44:02Z | - |
| identifier.uri | http://hdl.handle.net/2108/683 | - |
| description.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. | en |
| description.sponsorship | This research has been facilitated by the European project MRTN-CT-2004-505226 ``Multi-scale modelling and characterisation for phase transformations in advanced
materials''.
P.P.-G. and G.T. have been partially supported by the Italian MIUR under the
project PRIN 2005 ``Modelli Matematici per la Scienza dei Materiali''. In
addition, G.T.has been partially supported by INdAM-GNFM Project
``Modellazione Fisico-Matematica dei Continui Elettro-attivi''; he also acknowledges the hospitality of
Charles University in Prague, having been supported by the grant 201/06/0352
(GA CR) and by Institute of Physics of the ASCR.
T.R. acknowledges the hospitality of
Universita` di Roma ``Tor Vergata'', together with a partial support also from the grants IAA100750802 (GA AV CR),
MSM21620839 and 1M06031 (MSMT CR), and
from the research plan AV0Z20760514 (CR),
also as a research activity of
``Necas center for mathematical modeling'' LC~06052 (MSMT CR). | en |
| format.extent | 343881 bytes | - |
| format.mimetype | application/pdf | - |
| language.iso | en | en |
| subject | Magnetic materials | en |
| subject | Phase transitions | en |
| subject | Thermodynamics of continua | en |
| subject | Landau-Lifschitz-Gilbert equation | en |
| subject | Heat equation with L^1 data | en |
| title | A thermodynamically-consistent theory of the ferro/paramagnetic transition | en |
| type | Article | en |
| Appears in Collections: | Research studies
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| trrome_TR.pdf | | 335Kb | Adobe PDF | View/Open |
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