High-temperature evolution of the magnetization of aluminum reduction cell steel
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 1, pp. 5-11.

Voir la notice de l'article provenant de la source Math-Net.Ru

The magnetic properties of steel of a structural element of an aluminum reduction cell have been investigated in the temperature range of $300$$900$ K. The analysis of the temperature dependence of the saturation magnetization $M_S(T)$ showed (i) the applicability of the Bloch's $3/2$ law and a reasonable value of the Bloch's constant for steel and (ii) the quadratic dependence $M_S(T) \mathtt{\sim} (1-T^2)$ in the temperature range of $380$$700$ K.
Keywords: steel, aluminum reduction cells, saturation magnetization
Mots-clés : Bloch's constant.
@article{JSFU_2021_14_1_a0,
     author = {Dmitry A. Balaev and Sergei V. Semenov and Sergei N. Varnakov and Evgeniy Yu. Radionov and Yaroslav Al. Tretyakov},
     title = {High-temperature evolution of the magnetization of aluminum reduction cell steel},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {5--11},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_1_a0/}
}
TY  - JOUR
AU  - Dmitry A. Balaev
AU  - Sergei V. Semenov
AU  - Sergei N. Varnakov
AU  - Evgeniy Yu. Radionov
AU  - Yaroslav Al. Tretyakov
TI  - High-temperature evolution of the magnetization of aluminum reduction cell steel
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2021
SP  - 5
EP  - 11
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2021_14_1_a0/
LA  - en
ID  - JSFU_2021_14_1_a0
ER  - 
%0 Journal Article
%A Dmitry A. Balaev
%A Sergei V. Semenov
%A Sergei N. Varnakov
%A Evgeniy Yu. Radionov
%A Yaroslav Al. Tretyakov
%T High-temperature evolution of the magnetization of aluminum reduction cell steel
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2021
%P 5-11
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2021_14_1_a0/
%G en
%F JSFU_2021_14_1_a0
Dmitry A. Balaev; Sergei V. Semenov; Sergei N. Varnakov; Evgeniy Yu. Radionov; Yaroslav Al. Tretyakov. High-temperature evolution of the magnetization of aluminum reduction cell steel. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 1, pp. 5-11. http://geodesic.mathdoc.fr/item/JSFU_2021_14_1_a0/

[1] L. Kirensky, Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, 1937, no. 7, 880–889 (in Russian)

[2] J. Crangle, G.M. Goodman, “The magnetization of pure iron and nickel”, Proc. Roy. Soc. A, 321:9 (1971), 477–491

[3] P.C. Riedi, Phys. Rev. B, 8 (1973), 5243–5246

[4] U.Köbler, A. Hoser, Eur. Phys. J. B, 60 (2007), 151–159

[5] U.Köbler, A. Hoser, C. Thomas, Journal of Magnetism and Magnetic Materials, 321 (2009), 1202–1208

[6] R.S. Iskhakov, S.V. Komogortsev, A.D. Balaev, A.V. Okotrub, A.G. Kudashov, V.L. Kuznetsov, Yu.V. Butenko, JETP Letters, 78:4 (2003), 236–240

[7] S.N. Varnakov, J. Bartolomé, J. Sesé, S.G. Ovchinnikov, S.V. Komogortseva, A.S. Parshin, G.V. Bondarenko, Physics of the Solid State, 49 (2007), 1470–1475 | DOI

[8] S.N. Varnakov, A.S. Parshin, S.G. Ovchinnikov, D. Rafaja, L. Kalvoda, A.D. Balaev, S.V. Komogortsev, Technical Physics Letters, 31:11 (2005), 947–950

[9] N.B. Melnikov, B.I. Reser, “Transverse susceptibility and the T3/2 law in the dynamic spin-fluctuation theory”, Theor. Math. Phys., 181 (2014), 1435–1447 | DOI

[10] P.S. Kondratenko, Sov. Phys. JETP, 20 (1964), 1032–1038

[11] U.Köbler, Journal of Magnetism and Magnetic Materials, 491 (2019), 165632 | DOI

[12] P.P. Silvester, R.L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, 1996, 239–241

[13] M. Dupuis, V. Bojarevics, J. Freibergs, Light Metals, The Minerals, Metals $\$ Materials Series, 2004, 453–459

[14] E.Y. Radionov, V.A. Ershov, Vestnik Irkutskogo Gosudarstvennogo Universiteta, 2008, no. 4, 210–213 (in Russian)

[15] V. Bojarevics, E. Radionov, Y. Tretiyakov, “Anode bottom burnout shape and velocity field investigation in a high amperage reduction cell”, Light Metals, The Minerals, Metals $\$ Materials Series, ed. O. Martin, 2018, 551–556 | DOI

[16] R.S. Iskhakov, S.V. Komogortsev, E.A. Denisova, Yu.E. Kalinin, A.V. Sitnikov, JETP Letters, 86 (2007), 465–469 | DOI

[17] B.P. Khrustalev, A.D. Balaev, V.G. Pozdnyakov, Thin Solid Films, 130 (1985), 195–207