In this paper we construct a geometric model for deformable magnetizable bodies in the framework of thermodynamics of simple materials, taking into account a Maugin's approach for ferromagnetic crystals, developed within the irreversible thermodynamics with vectorial and tensorial internal variables. We explicitly consider an internal (non-Euclidean) metric as a thermodynamical non-equilibrium variable obtaining the dynamical system on the bre bundle of processes for simple material elements of the media under consideration. The derivation of this system is the first step to apply the qualitative theory of dynamical systems. Furthermore, we work out the entropy function and the entropy 1-form, which represents the starting point to introduce an extended thermodynamical phase space. Finally, from Clausius-Duhem inequality we give the extra-entropy flux and the state laws.

Thermodynamics of ferromagnetic crystals with a non-Euclidean structure as internal variable

DOLFIN, Marina;RESTUCCIA, Liliana
2010

Abstract

In this paper we construct a geometric model for deformable magnetizable bodies in the framework of thermodynamics of simple materials, taking into account a Maugin's approach for ferromagnetic crystals, developed within the irreversible thermodynamics with vectorial and tensorial internal variables. We explicitly consider an internal (non-Euclidean) metric as a thermodynamical non-equilibrium variable obtaining the dynamical system on the bre bundle of processes for simple material elements of the media under consideration. The derivation of this system is the first step to apply the qualitative theory of dynamical systems. Furthermore, we work out the entropy function and the entropy 1-form, which represents the starting point to introduce an extended thermodynamical phase space. Finally, from Clausius-Duhem inequality we give the extra-entropy flux and the state laws.
File in questo prodotto:
File Dimensione Formato  
Magnetizzabili.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 275.5 kB
Formato Adobe PDF
275.5 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/1908951
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 2
social impact