Journal of Physical Studies 5(3/4), 279–284 (2001)
DOI: https://doi.org/10.30970/jps.05.279

HOW TO DISTINGUISH BETWEEN CUBIC AND ISOTROPIC CRITICAL BEHAVIOURS

D. V. Pakhnin, A. I. Sokolov

Saint Petersburg Electrotechnical University
5 Professor Popov Str., Saint Petersburg 197376, Russia

For the three-dimensional cubic model, the nonlinear susceptibilities of the fourth, sixth, and eighth orders are analyzed and the parameters $δ^{(i)}$ characterizing their reduced anisotropy are evaluated at the cubic fixed point. The anisotropy parameters are found to be: $δ^{(4)} = 0.054 \pm 0.012$, $δ^{(6)} = 0.102 \pm 0.02$, and $δ^{(8)} = 0.144 \pm 0.04$, indicating that the anisotropic (cubic) critical behaviour predicted by the advanced higher-order renormalization-group analysis should be, in principle, visible in physical and computer experiments.

PACS number(s): 64.60.Ak, 11.10.Lm, 64.60.Fr, 75.40.Cx

ps pdf