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Complex temperature plane zeros in the mean-field approximation |
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| Authors: | M. L. Glasser V. Privman L. S. Schulman |
| Affiliation: | (1) Department of Mathematics and Computer Science, Clarkson University, 13676 Potsdam, New York;(2) Department of Physics, Clarkson University, 13676 Potsdam, New York;(3) Department of Physics, Technion, 32000 Haifa, Israel |
| Abstract: | We derive asymptotic expressions for the complex temperature plane zeros of the infinite-range Ising model in the scaling regime. The results also apply to high-dimensional, short-range Ising systems. For thenth zero in a system ofN spins, the leading asymptotic result istn (n/N)1/2(–1 ±i). |
| Keywords: | Partition function zeros infinite-range Ising models phase transitions mean-field theory |
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