Abstract
The problem of developing a basis for dimensional (physical) statistics is posed and illustrated with statistical analysis of the thermodynamic magnetic properties of ferromagnetic nickel with allowance for magnetophonon interaction (interaction between the magnetic subsystem and the crystal lattice). By dimensional statistics is meant statistical analysis of quantities differing in nature and dimension with a unified physical model allowing a statistically optimal description of the quantities. The properties being analyzed are the temperature dependences of the (i) thermodynamic (Landau) coefficients, α(T) and β(T); (ii) reciprocal initial paramagnetic susceptibility, X −10 (T); (iii) spontaneous magnetization, M s(T); (iv) magnetization in an external field, M(T, H); and (v) magnetic part of the molar heat capacity, C m(T).
Similar content being viewed by others
References
K. P. Belov, Magnetic Transitions (Fizmatgiz, Moscow, 1959; Consultants Bureau, New York, 1961).
S. V. Vonsovskii, Magnetism (Nauka, Moscow, 1971; Wiley, New York, 1974).
J. Crangle and G. M. Goodman, Proc. R. Soc. London, Ser. A 321, 477 (1971).
L. A. Novitskiĭ and I. G. Kozhevnikov, Thermphysical Properties of Materials at Low Temperatures: A Handbook (Mashinostroenie, Moscow, 1975) [in Russian].
Tables of Physical Quantities, Ed. by I. K. Kikoin (Atomizdat, Moscow, 1976) [in Russian].
V. E. Zinov’ev, Thermophysical Properties of Metals at High Temperatures: A Handbook (Metallurgiya, Moscow, 1989) [in Russian].
Handbook of Physical Quantities, I. S. Grigoriev and E. Z. Meilikhov, Eds. (Énergoatomizdat, Moscow, 1991; CRC, Boca Raton, 1997).
V. Yu. Bodryakov and A. A. Povzner, Self-Consistent Thermodynamic Model of the Crystal Lattice (GOU VPO UGTU-UPI, Yekaterinburg, 2004), Part 3.
V. Yu. Bodryakov, A. A. Povzner, and I. V. Safonov, Fiz. Met. Metalloved. 100, 4 (2005).
V. Yu. Bodryakov, Doctoral Dissertation (Ural State Technical University, Yekaterinburg, 2005).
A Handbook of Precision Alloys, B. V. Molotilov, Ed. (Metallurgiya, Moscow, 1983) [in Russian].
A. I. Zakharov, Physics of Precision Alloys with Special Thermal Properties (Metallurgiya, Moscow, 1986) [in Russian].
B. V. Molotilov and V. I. Matorin, Stal’, No. 8, 92 (2004).
V. G. Vaks, A. I. Larkin, and S. A. Pikin, Zh. Éksp. Teor. Fiz. 53, 281 (1967) [Sov. Phys. JETP 26, (1967)].
J. Hubbard, J. Appl. Phys. 52, 1654 (1981).
E. Z. Valiev, Usp. Fiz. Nauk 161(8), 87 (1991) [Sov. Phys. Usp. 161, 813 (1991)].
V. M. Zverev and V. P. Silin, Pis’ma Zh. Éksp. Teor. Fiz. 64, 33 (1996) [JETP Lett. 64, 37 (1996)].
B. Weimert and L. Fritsche, J. Appl. Phys. 81, 3865 (1997).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1984).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 4th ed. (Nauka, Moscow, 1995; Butterworth, London, 1999)].
V. Yu. Bodryakov, A. A. Povzner, and I. V. Safonov, Teplofiz. Vys. Temp. 43, 396 (2005).
H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Clarendon, Oxford, 1971; Mir, Moscow, 1973).
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism, 2nd ed. (Nauka, Moscow, 1975; Plenum, New York, 1967).
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1975; Pergamon, Oxford, 1979).
A. A. Abrikosov, Fundamentals of the Theory of Metals (Nauka, Moscow, 1987; North-Holland, Amsterdam, 1988).
V. Yu. Bodryakov and A. N. Bashkatov, Metally, No. 5, 99 (2005).
Author information
Authors and Affiliations
Additional information
Original Russian Text © V.Yu. Bodryakov, A.N. Bashkatov, 2007, published in Zhurnal Tekhnicheskoĭ Fiziki, 2007, Vol. 77, No. 3, pp. 23–28.
Rights and permissions
About this article
Cite this article
Bodryakov, V.Y., Bashkatov, A.N. Physical statistical analysis of thermodynamic properties of ferromagnets with allowance for magnetophonon interaction (by the example of nickel). Tech. Phys. 52, 313–319 (2007). https://doi.org/10.1134/S106378420703005X
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/S106378420703005X