Critical Frequency Dependence of the Shear Viscosity

Authors: Flossmann, G.1; Folk, R.1; Moser, G.2

Source: International Journal of Thermophysics, Volume 22, Number 1, January 2001 , pp. 89-99(11)

Publisher: Springer

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Abstract:

Recent low-gravity measurements of the shear viscosity in xenon near its critical point are compared with theoretical results obtained within the field theoretical renormalization group (RG) theory. Nonasymptotic effects and gravity effects are included in our theoretical description, which allows a comparison outside the asymptotic region as well as with earthbound experiments affected by gravity. Comparisons are also made with the theoretical result of the mode coupling theory. In both theories no agreement with the frequency dependence of the real part of the shear viscosity within one-loop theory can be reached. The experimental value of the ratio of the imaginary part to the real part of the shear viscosity at T_c is found to be in agreement with the value calculated within the decoupled mode theory using the two-loop value for the critical exponent of the temperature dependence of the shear viscosity, but not with the one-loop value obtained in RG theory. Thus a complete two-loop calculation of the vertex function for the shear viscosity is required.

Keywords: critical point; dynamic critical phenomena; renormalization group theory; shear viscosity; transport coefficients; xenon

Document Type: Regular Paper

Affiliations: 1: Institute for Theoretical Physics, Johannes-Kepler-University Linz, Altenbergerstr. 69, A-4040 Linz, Austria 2: Institute for Physics and Biophysics, Paris-London-University Salzburg, Hellbrunnerstr. 34, A-5020 Salzburg, Austria

Publication date: January 1, 2001

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