|
Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 50, Number 2, Pages 286–300
(Mi tmf2110)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Statistical mechanics of a paramagnetic chain
A. F. Sadreev
Abstract:
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.
Received: 28.02.1980
Citation:
A. F. Sadreev, “Statistical mechanics of a paramagnetic chain”, TMF, 50:2 (1982), 286–300; Theoret. and Math. Phys., 50:2 (1982), 186–196
Linking options:
https://www.mathnet.ru/eng/tmf2110 https://www.mathnet.ru/eng/tmf/v50/i2/p286
|
|