Diffusional Operations

1. Diffusion and Brownian Motion

-- Brownian motion, Langevin Equation, overdamped Langevin Equation

-- Brownian motion in a harmonic potential

-- Smoluchowski equation

-- Time correlation functions

-- Fluctuation - Dissipation Theorem

2. Molecular Origin of Diffusion: Theories

-- Kinetic Theory of Gases

-- Hydrodynamic Theories

-- Free volume theories

-- Transition-state / activated-state theories

3. Multicomponent Systems

-- Conservation Equations for Multicomponent systems and Multicomponent fluxes

-- Matrix approximation for Multicomponent Mass Transport

-- Dimensional analysis and scaling (Prandtl, Schmidt, Grashof and Damköhler numbers)

4. Transport equations and Irreversible Thermodynamics

-- Affinities, fluxes, coupled fluxes, Casimir-Onsager reciprocity principles

-- Maxwell-Stefan Equations for Multicomponent Diffusion in Gases at Low Density

5. Other Mechanisms for Mass Transfer

-- The equation of change for entropy

-- Generalized Stefan-Maxwell equations

-- First applications of the Generalized Stefan-Maxwell equations

6. Other applications of the Generalized Stefan-Maxwell equations

-- Mass transfer across selectively permeable membranes (facilitated and active transport)

-- Mass Transfer in Biology and Medicine

-- Drug release from Delivery Systems

-- Mass transfer through a Biofilm

-- Diffusion in porous media

7. Transport in Electrolyte Solutions

-- Ion fluxes, Poisson-Boltzmann equation, Double-Layer Potential

-- Electro-osmotic Flow

8. Combined Transport and Reaction (homogeneous or heterogeneous)

-- Instantaneous Reactions, First Order Reactions

-- Vapor Deposition and Sublimation

-- Condensation and Evaporation

9. Dispersion & Turbulence

-- Convection-Dispersion (Taylor Dispersion)

-- Averaging--temporal and spatial

-- Dispersion and Chromatography

-- Turbulence (eddy diffusivities)

10. Overview of anomalous diffusion

-- Levi walks and their macroscopic interpretation

-- Subdiffusion and superdiffusion