Abstract:We compare theoretical results for the characteristic frequency of the Rayleigh peak calculated in one-loop order within the field theoretical method of the renormalization group theory with experiments and other theoretical results. Our expressions describe the non-asymptotic crossover in temperature, density and wave vector. In addition we discuss the frequency dependent shear viscosity evaluated within the same model and compare our theoretical results with recent experiments in microgravity.
“…This leads to a value definitive different from the fixed point value as can be seen from figure 5. Similar results are obtained for xenon [11].…”
Section: Characteristic Frequencysupporting
confidence: 88%
“…Introducing a phenomenological parameter into the frequency scale [9] agreement can be achieved in mode coupling theory for both the real part and the ratio of the real part to the imaginary part of the viscosity. This also holds for the RG-result for the real part of the viscosity (with a value different [11] from the mode coupling theory). The ratio of the real part to the imaginary part of the viscosity cannot be improved by this procedure since its limiting value at T c is given by the universal one loop order result [11] (f * 2…”
Section: Shear Viscositymentioning
confidence: 55%
“…This also holds for the RG-result for the real part of the viscosity (with a value different [11] from the mode coupling theory). The ratio of the real part to the imaginary part of the viscosity cannot be improved by this procedure since its limiting value at T c is given by the universal one loop order result [11] (f * 2…”
We consider the critical properties of fluids induced by the critical fluctuations in the order parameter. The theory describes the crossover from the analytic background behaviour to the universal asymptotic behaviour of several dynamic quantities.
“…This leads to a value definitive different from the fixed point value as can be seen from figure 5. Similar results are obtained for xenon [11].…”
Section: Characteristic Frequencysupporting
confidence: 88%
“…Introducing a phenomenological parameter into the frequency scale [9] agreement can be achieved in mode coupling theory for both the real part and the ratio of the real part to the imaginary part of the viscosity. This also holds for the RG-result for the real part of the viscosity (with a value different [11] from the mode coupling theory). The ratio of the real part to the imaginary part of the viscosity cannot be improved by this procedure since its limiting value at T c is given by the universal one loop order result [11] (f * 2…”
Section: Shear Viscositymentioning
confidence: 55%
“…This also holds for the RG-result for the real part of the viscosity (with a value different [11] from the mode coupling theory). The ratio of the real part to the imaginary part of the viscosity cannot be improved by this procedure since its limiting value at T c is given by the universal one loop order result [11] (f * 2…”
We consider the critical properties of fluids induced by the critical fluctuations in the order parameter. The theory describes the crossover from the analytic background behaviour to the universal asymptotic behaviour of several dynamic quantities.
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