Skip to main content

Critical Behavior of the Thermal Conductivity near a Magnetic Phase Transition

  • Chapter
Magnetic Hysteresis in Novel Magnetic Materials

Part of the book series: NATO ASI Series ((NSSE,volume 338))

  • 1138 Accesses

Abstract

The phenomenological Weiss molecular field approximation (MFA) allows one to use the dominant coupling forces between neighbouring spins in order to desribe the production of a spontaneous magnetisation below the so-called Curie temperature. In the case of ferromagnetic metallic systems such as REAl2 where RE is any rare earth ion, it was shown under this MFA that the thermal conductivity к shows a marked change in behavior at the Curie temperature. This investigation of к in the temperature range around the Curie point is important for the understanding of the magnetism of such compounds and to obtain quantitative values of the basic physical parameters. We have next calculated the behavior of the thermal localized-spin resistivity versus reduced temperature in the critical region using the formulae given in our previous papers on the basis of a MFA but also taking into account the presence of an external magnetic field. In order to take into account strict non equilibrium conditions and domain effects, we have also added the contribution from the Barkhausen effect near the Curie temperature. Furthermore we discuss the possible observations of magneto-thermal avalanches at a critical organized state in order to measure magnetic wall pinning energies.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 429.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 549.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. S. Smart, Effective Field Theory of Magnetism, (W. B. Saunders Company, Philadelphia & London, 1966).

    Google Scholar 

  2. H. E. Stanley, Phase Transition and Critical Phenomena, (Clarendon Press, Oxford, 1971).

    Google Scholar 

  3. A. Rassili and M. Ausloos, Theory of the thermal conductivity of RE Al 2 compounds, J. Magn. Magn. Mat. 147 (1995) 341–345.

    Article  ADS  Google Scholar 

  4. A. Rassili and M. Ausloos, Theory of the thermal conductivity of metallic localized spin compounds in a magnetic field. (accepted in J.M.M.M.)

    Google Scholar 

  5. T. Van Peski-Tinbergen and A.J. Dekker, Spin-dependent scattering and resistivity of magnetic metals and alloys, Physica 29 (1963) 917,

    Article  Google Scholar 

  6. M. Ausloos, J. P. Leburton and P. Clippe, Effect of magnetic domains on the electrical resistivity of a ferromagnet just below the critical temperature, Solid State Commun., 33 (1980) 75.

    Article  ADS  Google Scholar 

  7. M. Ausloos, J.B. Sousa, M.M. Amado, and R.P. Pinto, Conditions for Metastable Thermal and Magnetic Domain Structure and for Observable Oscillations in dρ/dT near an Electrothermal Instability, Appl. Phys. Lett. 43 (1983) 927.

    Article  ADS  Google Scholar 

  8. D. Katzen and I. Procaccia, Phase Transitions in the Thermodynamic Formalism of Multifractals, Phys. Rev. Lett. 58 (1987) 1169.

    Article  MathSciNet  ADS  Google Scholar 

  9. N. Vandewalle and M. Ausloos, Criticality of trapping in a dynamic epidemic model, J. Phys. A 29 (1996) 309.

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Rassili, A., Ausloos, M. (1997). Critical Behavior of the Thermal Conductivity near a Magnetic Phase Transition. In: Hadjipanayis, G.C. (eds) Magnetic Hysteresis in Novel Magnetic Materials. NATO ASI Series, vol 338. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5478-9_18

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5478-9_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6304-3

  • Online ISBN: 978-94-011-5478-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics