Particles at Interfaces

PREFACE
CHAPTER 1 SIGNIFICANCE OF PARTICLE DEPOSITION
CHAPTER 2 POTENTIAL INTERACTIONS AMONG PARTICLES

2.1. Introduction

2.2. Electrostatic Interactions

2.2.1. Basic Electrostatic Relationships

2.2.2. Electric Potential and Field Distributions for Simple Geometries

2.2.3. Particle Interactions in Dielectric Media

2.2.4. The Electric Double-layer

2.2.4.1. The Poisson Equation-solutions for an Isolated Double-layer

2.2.4.2. The Poisson–Boltzmann Equation

2.2.4.3. A Planar Double Layer

2.2.4.4. A Spherical Double Layer

2.2.4.5. Two double-layer system

2.2.5. Particle Interactions in Ionic Media

2.2.5.1. Interaction of Convex Particles-analytical Solutions

2.2.5.2. Comparison of Exact Numerical and Approximate Results

2.2.6. Concluding Remarks, Limitations of the classical Double-Layer Model

2.3.   Molecular–van der Waals Interactions

2.3.1. Dipolar Interactions – Keesom  Forces

2.3.2. Induced Dipole Interactions – Debye Forces

2.3.3. The Dispersion Interactions – London Forces

2.3.4. van der Waals Interactions of Macrobodies – Hamaker Theory

2.3.5. Interactions in Dispersing Media, Hamaker Constant Calculations

2.4. Superposition of Interactions – Energy Profiles

2.5. Particle Adhesion Phenomena and other non-DLVO Interactions
List of Symbols
References

CHAPTER 3 DISSIPATIVE INTERACTIONS

3.1. Introduction

3.2. Basic Hydrodynamic Equations

3.2.1. General Equations of Fluid Motion

3.2.2. Stokes Equation – Creeping Flows

3.2.3. Boundary Conditions and Hydrodynamic Forces

3.3. Macroscopic Flows near Interfaces

3.3.1. Laminar Flows in Channels

3.3.2. Stagnation-point and impinging-jet flows

3.3.3. Flows Past Stationary Interfaces – Boundary Layer Flows

3.3.4. Decomposition of Macroscopic Flows into Simple Flows

3.4.   Flows involving a Single Particle

3.4.1. Stokes’ Flows Near a Spherical Particle

3.4.2. Transient Motion of a Sphere

3.4.3. Flows Involving Non-spherical (Anisotropic) Particles

3.4.4. The Hydrodynamic Resistance Tensors

3.4.5. Hydrodynamic Diameter of  Particles

3.4.6. Motion of a Particle Near Interfaces – Wall Effects

3.4.6.1. The Method of Reflections

3.4.6.2. Particle Motion in a Quiescent Fluid Near Interfaces

3.4.6.3. Particles at Interface in Simple Flows
List of Symbols
References

CHAPTER 4 TRANSFER OF PARTICLES TO INTERFACES – LINEAR PROBLEMS

4.1. The Force Balance and the Mobility of Particles

4.1.1. The Mobility Matrix

4.2. Migration of Particles in External Fields

4.3. Particle Motion Near Boundary Surfaces – Trajectory Analysis

4.4. Brownian Motion and Diffusion

4.4.1. Isolated Particle Motion – Langevine Equation

4.4.2. Brownian Motion of Non-Spherical Particles

4.4.3. Diffusion of Isolated Particles – the Fokker-Planck and Smoluchowski Equations

4.4.4. Limiting Solutions of the Diffusion Equation for an Isolated Particle

4.5.   Phenomenological Transport Equations

4.5.1. Limiting Forms – Transport Regimes

4.5.2. The Near Surface Transport

4.6. Solved Problems of Linear Transport to Interfaces

4.6.1. Diffusion Transport to Spherical and Planar Interfaces

4.6.2. Particle Adsorption Driven by External Forces

4.6.3. Convective Diffusion Transport to Various Interfaces

4.6.4. Exact Transport Equations

4.6.4.1. Exact Numerical Calculations of Particle Deposition Rates
List of Symbols
References

CHAPTER 5 NON – LINEAR TRANSPORT OF PARTICLES

5.1. Introduction

5.2. Reversible, two-dimensional Particle Systems

5.3. The Random Sequential Adsorption RSA model

5.3.1. The 2D Random Sequential Adsorption of Spherical Particles

5.3.2. Adsorption on Heterogeneous Surfaces

5.3.2.1. Adsorption on Pre-covered Surfaces

5.3.2.2. Adsorption on Random-site Surfaces

5.4. The RSA Model of Non-spherical Particles

5.4.1. The side-on Adsorption of Non-spherical Particles

5.4.2. The Unoriented Adsorption of Non-spherical Particles

5.5. Random Sequential Adsorption of Interacting Particles

5.5.1. The 3D RSA Models for Interacting Particles

5.6. Other RSA  Models

5.7. The Generalized RSA Model
List of Symbols
References

CHAPTER 6 PARTICLE  AND PROTEIN ADSORPTION

6.1.   Introduction

6.2.   Particle Synthesis and Physicochemical Characteristics

6.2.1. Synthesis of  Nanoparticles

6.2.2. Monodisperse Polymer Colloids

6.2.3.  Composite Particles

6.2.4.  Physicochemical Characteristics of Particles

6. 3.    Experimental Methods

6.3.1.  General Classification

6.3.2.  Indirect Methods

6.3.3.  Electrokinetic Methods

6.3.4.  Direct Observation Methods

6.4.    Particle Deposition Kinetics,

6.4.1.   Diffusion-controlled Deposition of Particles

6.4.2.   Self-Assembling Monolayers

6.4.3.  Deposition under Flow

6.4.4.  Deposition under Electrostatic and External Fields

6.4.5.  Topology and Structure of Particle Monolayers  and  Multilayers

6.6.     Protein Adsorption

6.6.1.  Electrokinetic Characteristics of Proteins

6.6.2   Diffusion-controlled Adsorption Kinetics

6.6.3.  Adsorption in Flowing Systems 

6.6.4.   Topology of Protein Mono-layers

6.6.5.    Surface Antigen-antibody Interactions

6.6.6.    Multilayers and Composite Coatings
References