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

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

2002-09-13

arxiv.org/abs/cond-mat/0209320v1

Physics

Condensed Matter

Statistical Mechanics

9 pages and 3 figures

Scientific paper

10.1103/PhysRevE.67.036103

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 $x_{\eta}=\frac{8}{15 \pi^2}(1+\frac{8}{3 \pi^2})\simeq 0.0685$.

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