Critical Viscosity Exponent for Fluids: What Happend to the Higher Loops

Abstract

We arrange the loopwise perturbation theory for the critical viscosity exponent $x_{\eta }$, which happens to be very small, as a power series in $x_{\eta }$ itself and argue that the effect of loops beyond two is negligible. We claim that the critical viscosity exponent should be very closely approximated by $x_{\eta }=\frac{8}{15{\pi }^2}(1+\frac{8}{3{\pi }^2})\simeq 0.0685$.

9 pages and 3 figures

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