Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-12-13
Phys. Rev. B 66, 012403 (2002).
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures, submitted to PRL
Scientific paper
10.1103/PhysRevB.66.012403
We reduce the autocorrelation function $C_{11}(t)$ of the equivalent neighbor model of $N$ classical spins exhibiting Heisenberg dynamics and exchange coupling $J$ to quadrature. As the temperature $T\to\infty$, $C_{11}(t)\propto t^{-N}$ for $Jt>>1$. At low $T$, the antiferromagnetic $C_{11}(t)$ is a simple function of $(JT)^{1/2}t$, exhibiting strong frustration, but the ferromagnetic $C_{11}(t)$ oscillates in a single mode the frequency of which approaches $NJ$ as $T\to0$. We conjecture that as $T\to\infty$, the near-neighbor correlation functions of $N$-spin classical Heisenberg rings are simply obtained from these results.
Ameduri Marco
Klemm Richard A.
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