Mode Coupling Calculations of Critical Phenomena and Polymer Dynamics
The origin of the anomalous behavior of transport properties near the critical point has been the subject of many investigations and the physical basis of such effects is well understood. Mode coupling theory1 and more recently the dynamic renormalization group approach2 have provided a mathematical framework in which such anomalies can be calculated. Actual calculations are frequently difficult to carry out since the mode coupling equations are complex and the level of description which is required is not always clear due to the lack of a well defined smallness parameter in many cases. In addition, experimental results are often obtained in a region where background effects are large. As a result of these problems, our knowledge of the anomalous behavior in some systems is not complete. For example, in the past there has been disagreement as to whether the shear viscosity of fluids and fluid mixtures was finite or divergent at the critical point. In order to resolve some of these questions, we have carried out a fairly extensive set of calculations for the Rayleigh linewidth and shear viscosity of Xe3–5. Our calculations included the lowest order vertex and frequency corrections, all background terms and non-Ornstein-Zernicke corrections.
KeywordsShear Viscosity Critical Phenomenon Anomalous Behavior Fluid Mixture Dynamic Structure Factor
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- 1.K. Kawasaki in “Phase Transitions and Critical Phenomena” eds. C. Domb and M. S. Green (Academic Press, N. Y., 1976), p. 166.Google Scholar
- 9.R. Kapral, D. Ng and S. G. Whittington, J. Chem. Phys. 64, 2957 (1974).Google Scholar
- 10.E. Dubois-Violette and P. G. de Gennes, Physics 3, 181 (1967).Google Scholar
- 12.D. Ng, R. Kapral and S. G. Whittington, J. Phys. A, to appear.Google Scholar