Skip to main content
Log in

The Langevin formula for describing the magnetization curve of a magnetic liquid

  • Solid State
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

It has been shown that, at the initial stage of the magnetization curve, the magnetic susceptibility of magnetic liquid determined as χ = Mμ0/B (M is the magnetization, B is the magnetic induction in a sample) obeys the Curie law, and the magnetic susceptibility determined as χ = M/H (H is the magnetic field intensity in a sample) obeys the Curie–Weiss law. Since the Curie law is a particular case of the Langevin dependence, it is assumed that an experimental magnetization curve is described by the Langevin formula with a Langevin parameter ξ = PB/kT, where P is the magnetic moment of a particle and T is the temperature. Experimental verification has shown that, at parameter ξ, the mean relative deviation between the values of M measured and calculated by the Langevin formula is 5%. This deviation can be accounted for by the influence of dispersion of the magnetic moments of nanoparticles.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. I. Zhernovoi, RF Patent No. 2 452 940, Byull. Izobret, No. 16 (2012).

  2. V. M. Polunin, Acoustic Properties of Nanodispersed Magnetic Fluids (Fizmatlit, Moscow, 2011).

    Google Scholar 

  3. A. F. Pshenichnikov, V. V. Mekhonoshin, and A. V. Lebedev, J. Magn. Magn. Mater. 161, 94 (1996).

    Article  ADS  Google Scholar 

  4. E. Ya. Blum, M. M. Maiorov, and A. O. Tsebers, Magnetic Fluids (Zinatne, Riga, 1989).

    Google Scholar 

  5. B. M. Berkovskii, V. F. Medvedev, and M. S. Krakov, Magnetic Fluids (Khimiya, Moscow, 1989).

    Google Scholar 

  6. A. I. Zhernovoi and S. V. D’yachenko, Tech. Phys. 60, 595 (2015).

    Article  Google Scholar 

  7. A. I. Zhernovoi, Measurement of Magnetic Fields by Nutation Method (Energiya, Leningrad, 1979).

    Google Scholar 

  8. S. G. Kalashnikov, Electricity (Nauka, Moscow, 1985).

    Google Scholar 

  9. A. I. Zhernovoi, Yu. R. Rudakov, and S. V. D’yachenko, Nauchn. Priborostr. 22 (1), 52 (2012).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. D’yachenko.

Additional information

Original Russian Text © S.V. D’yachenko, A.I. Zhernovoi, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 86, No. 12, pp. 78–80.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

D’yachenko, S.V., Zhernovoi, A.I. The Langevin formula for describing the magnetization curve of a magnetic liquid. Tech. Phys. 61, 1835–1837 (2016). https://doi.org/10.1134/S1063784216120112

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784216120112

Navigation