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High and Low Temperature Series Estimates for the Critical Temperature of the 3D Ising Model

Zaher Salman () and Joan Adler ()
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Zaher Salman: Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel
Joan Adler: Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 01, 195-209

Abstract: We have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new 21-term high temperature series yields$K_c=0.221659\pm {}^{+0.000002}_{-0.000005}$and from the 32-term low temperature series of Vohwinkel we findKc=0.22167±0.00002, consistent with the high temperature series but with larger error bars. We discuss the reasons for the larger error bars on the low temperature side and compare these values with estimates from other series analyses and from simulations.

Keywords: Series Expansions; Ising Model; Critical Exponents; Critical Temperature (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000157

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