Abstract
Zubarev's nonequilibrium statistical operator method is used to construct a theory of the nonresonant acoustic absorption of the linear Ising magnet, the basic Hamiltonian of which is of the two-particle kind and is treated without approximations. The frequency dependence of the absorption is determined and found to differ analytically from the well-known Debye curve χ ″D (ω) but for reasonable values of the physical parameters gives an envelope that agrees qualitatively with χ ″D (ω).
Similar content being viewed by others
References
S. I. Tyablikov and V. K. Fedyanin,Fiz. Met. Metalloved.,23, 193 (1967).
M. P. Zhelifonov,Teor. Mat. Fiz.,8, 401 (1971).
A. R. Kessel' and G. O. Berim,Magnetic Resonance of Ising Magnets, [in Russian], Nauka, Moscow (1982).
G. O. Berim and A. R. Kessel,Physica (Utrecht) A,101, 112, 127 (1980).
G. O. Berim and A. R. Kessel,Physica (Utrecht) A,116, 526 (1982);117, 603 (1983);119, 153 (1983).
G. O. Berim and A. R. Kessel,Physica (Utrecht) B,182, 71 (1992).
M. Suzuki, K. Kato, H. Ikeda,J. Phys. Soc. Jpn.,49, 514 (1980);49, 1323 (1980).
S. A. Al'tshuler and B. M. Kozyrev,Electron Spin Resonance [in Russian], Nauka, Moscow (1972).
D. N. Zubarev,Nonequilibrium Statistical Thermodynamics, Plenum, New York (1974).
I. S. Donskaya and A. R. Kessel',Teor. Mat. Fiz.,38, 282 (1979).
M. B. Belonenko, I. S. Donskaya, and A. R. Kessel',Teor. Mat. Fiz.,88, 104 (1991).
S. R. Hartman,Phys. Rev.,133, 17A (1964).
E. Jahnke, F. Emde, and F. Lösch,Tables of Higher Functions, McGraw-Hill, New York (1960).
Additional information
Kazan Physicotechnical Institute, Russian Academy of Sciences; Moscow Institute of Instrument Manufacture. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98, No. 1, pp. 149–159, January, 1994.
Rights and permissions
About this article
Cite this article
Donskaya, I.S., Kessel', A.R. & Lapushkin, S.S. Nonresonant acoustic absorption of Ising magnet. Theor Math Phys 98, 100–106 (1994). https://doi.org/10.1007/BF01015127
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01015127