Geodesic
Statistical mechanics of an elastic Ising chain with exchange striction
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 118-127

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The transfer matrix method is used in a rigorous study of the statistical mechanics of an elastic chain of atoms having spin moment $1/2$. The chain is situated in a diamagnetic crystal whose influence on the chain is represented in the form of the potential $\varphi^2$. The spins are coupled by a short-range exchange interaction whose magnitude is a function of the distance between the spins. The single-ion coupling of the spins with the displacements of the atoms of the chain is also taken into account. 
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     author = {A. F. Sadreev},
     title = {Statistical mechanics of an elastic {Ising} chain with exchange striction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {118--127},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a10/}
}
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A. F. Sadreev. Statistical mechanics of an elastic Ising chain with exchange striction. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 1, pp. 118-127. http://geodesic.mathdoc.fr/item/TMF_1983_55_1_a10/