Statistical mechanics of a~paramagnetic chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 286-300
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The transfer matrix method is used to find the exact partitiorJ function in the thermodynamic limit of a two-level system coupled to a one-dimensional elastic, cyclically closed chain of atoms. The number of two-level objects ($\dfrac12$ spins) is equal to the number of degrees of freedom of the chain (the number of modes). The spin system is in a transverse field $\omega_0$, and the chain in a linear potential $\alpha\varphi^2$. The following results are obtained. At $\omega_0=0$, the problem is equivalent to the one-dimensional Kac model with antiferromagnetic exchange interaction between the spins. There is no phase transition in the system at any $\omega_0$ in contrast to the case with a finite
number of field modes. The interaction of the spins with the lattice suppresses the
Curie paramagnetism, and in the limit $T\to0$ the transverse susceptibility of the
system remains finite.
@article{TMF_1982_50_2_a9,
author = {A. F. Sadreev},
title = {Statistical mechanics of a~paramagnetic chain},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {286--300},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a9/}
}
A. F. Sadreev. Statistical mechanics of a~paramagnetic chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 286-300. http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a9/