This project is composed of three parts. The first part of this work focuses on kinetic theory of a fluid composed of simple reactive spheres. Theoretical analyses of the scattering of light and acoustical disturbances from chemically reactive fluids invariably have been based on continuum mechanical models of the reactive processes. In contrast to this, the theory used here invokes a simple but much tested molecular scale model for the chemically reactive events. The theory is designed to generate a multitude of wavenumber and frequency dependent correlation functions, among which are some that can be compared directly with the results of experimental measurements of slow-neutron and quasi-elastic light scattering. The computational output also includes a wealth of information about the frequency and wave length dependence of the familiar hydrodynamic modes as well as many other more exotic modes, such as the "fast sound modes" characteristic of mixtures of species with greatly different masses.
Lihong Qin, Research Associate
Eligiusz Wajnryb, Institute of Fundamental Technological Research, Warszawa, Poland
99/142 |
"The Viscosity of Polymerically Stabilized Dispersions of Spherical Colloid Particles," E. Wajnryb and J.S. Dahler, University of Minnesota Supercomputing Institute Research Report UMSI 99/142, August 1999. |
99/143 |
"The Viscosity of Electrostatically Stabilized Dispersions of Spherical Colloid Particles," E. Wajnryb and J.S. Dahler, University of Minnesota Supercomputing Institute Research Report UMSI 99/143, August 1999. |
The second part of this project involves newtonian viscosity of moderately dense suspensions. These researchers have developed a theory from which it is possible to compute the viscosity of a suspension as a power series in the volume fraction of the solute species, f. Explicit formulas have been derived for the series coefficients associated with the first and second powers of f. Values obtained from these formulas agree with the outputs of earlier theories for hard spheres with stick-slip boundary conditions. However, the theory proposed here is applicable to a broader class of solute-solvent interactions (interfacial boundary conditions) than earlier theories and to suspensions of nonspherical solute particles as well.
The third part of this work involves applications of a new renormalization group to a variety of physical problems. These researchers have invented a renormalization group that differs from the "generalized propagator" group upon which most, if not all, previous renormalization group calculations have been based. This group has been designed to deal specifically with functions (such as the partition functions of statistical physics) that are positive valued. This group and an associated Lie algebra computational algorithm can be applied to a wide variety of physical systems, and this research is embarked on a systematic study of a number of these.
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URL: http://www.msi.umn.edu/about/publications/annualreport/ar2000/depts/IT/ChemEng_MatSci/dahler.html |
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