Kinetic theories for stochastic models of liquids with highly cooperative dynamics
Stanford University, 2008 - Science - 118 pages
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Stochastic dynamics and diagrammatics
Lattice gas formulation
7 other sections not shown
Boley condition bottom figure Chapter cluster property computed concentration configuration space correspond defined denotes detailed balance diagrammatic series dominant correlation function dominant fluctuation dominant particles dynamical variable equation of motion equations with 77 excluded volume explicit approximation expression Fourier transform free point G'rr Hilbert space include numerical solution include the numerical integral equation irreducible memory function jump rate kinetic equations kinetic theory Laplace transform lattice models lattice sites left root long-time mean field theory mean square displacement mode coupling equations mode coupling theory mode coupling-like node nonzero numerical solutions solid occupy one-dimensional lattice gas propagator Results include numerical right root rigid rod model root labeled satisfy the Boley scaled irreducible memory semidilute regime simulation data points Solution to mode solutions solid line statistically independent stochastic dynamics subspace top figure trace correlation function trace line trace particle trace rod trace-dominant limit transition rate matrix vectors vertex wavevectors