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Joint Applied Math and Probability Seminar
A diagrammatic formulation of the kinetic theory of fluctuations in
equilibrium fluids, lattice gas models, and spin systems
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One of the goals of kinetic theory of liquids is to calculate time correlation functions for density fluctuations in liquids at thermodynamic equilibrium. These time correlation functions are related to the observables in experiments such as neutron scattering and light scattering, and their Fourier transforms are related to transport coefficients, such as diffusion and viscosity coefficients. We will discuss a formally exact diagrammatic theory of such correlation functions and the use of the exact theory to develop accurate approximations. We will compare the results of a series of such approximations to numerical results obtained from molecular dynamics computer simulation studies of atomic liquids and dynamic Monte Carlo simulations of a kinetic Ising model and a simple lattice gas model. |