Elsevier S & T

An Introduction to Dynamics of Colloids

Dhont, J.K.G.

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Table of contents
  • CONTENTSix
  • CHAPTER 1. INTRODUCTION1
  • 1.1 An Introduction to Colloidal Systems2
  • 1.2 Mathematical Preliminaries13
  • 1.3 Statistical Mechanics31
  • Appendix49
  • Exercises51
  • Further Reading and References64
  • CHAPTER 2. BROWNIAN MOTION OF NON-INTERACTING PARTICLES69
  • 2.1 Introduction70
  • 2.2 The Langevin Equation70
  • 2.3 Time Scales74
  • 2.4 Chandrasekhar's Theorem79
  • 2.5 The pdf on the Diffusive Time Scale80
  • 2.6 The Langevin Equation on the Diffusive Time Scale81
  • 2.7 Diffusion in Simple Shear Flow83
  • 2.8 Rotational Brownian Motion88
  • Exercises102
  • Further Reading and References105
  • CHAPTER 3. LIGHT SCATTERING107
  • 3.1 Introduction108
  • 3.2 A Heuristic Derivation109
  • 3.3 The Maxwell Equation Derivation113
  • 3.4 Relation to Density Fluctuations122
  • 3.5 Static Light Scattering (SLS)125
  • 3.6 Dynamic Light Scattering (DLS)132
  • 3.7 Some Experimental Considerations135
  • 3.8 Light Scattering by Dilute Suspensions of Spherical Particles141
  • 3.9 Effects of Polydispersity144
  • 3.10 Scattering by Rigid Rods153
  • Exercises160
  • Further Reading and References169
  • CHAPTER 4. FUNDAMENTAL EQUATIONS OF MOTION171
  • 4.1 Introduction172
  • 4.2 A Primer on Hydrodynamic Interaction177
  • 4.3 The Fokker-Planck Equation179
  • 4.4 The Smoluchowski Equation183
  • 4.5 Diffusion of non-Interacting Particles186
  • 4.6 The Smoluchowski Equation with Simple Shear Flow195
  • 4.7 The Smoluchowski Equation with Sedimentation204
  • 4.8 The Smoluchowski Equation for Rigid Rods208
  • Exercises220
  • Further Reading and References225
  • CHAPTER 5. HYDRODYNAMICS227
  • 5.1 Introduction228
  • 5.2 The Continuity Equation229
  • 5.3 The Navier-Stokes Equation231
  • 5.4 The Hydrodynamic Time Scale234
  • 5.5 The Creeping Flow Equations238
  • 5.6 The Oseen Matrix241
  • 5.7 Flow past a Sphere244
  • 5.8 Leading Order Hydrodynamic Interaction250
  • 5.9 Faxen's Theorems253
  • 5.10 One step further : the Rodne-Prager Matrix255
  • 5.11 Rotational Relaxation of Spheres257
  • 5.12 The Method of Reflections258
  • 5.13 Hydrodynamic Interaction in Shear Flow276
  • 5.14 Hydrodynamic Interaction in Sedimenting Suspensions281
  • 5.15 Friction of Long and Thin Rods282
  • Appendix A288
  • Appendix B294
  • Appendix C295
  • Appendix D296
  • Appendix E300
  • Exercises302
  • Further Reading and References311
  • CHAPTER 6. DIFFUSION315
  • 6.1 Introduction316
  • 6.2 Collective Diffusion317
  • 6.3 Self Diffusion324
  • 6.4 Diffusion in Stationary Shear Flow329
  • 6.5 Short-time Diffusion331
  • 6.6 Gradient Diffusion351
  • 6.7 Long-time Self Diffusion356
  • 6.8 Diffusion in Stationary Shear Flow363
  • 6.9 Memory Equations372
  • 6.10 Diffusion of Rigid Rods392
  • Appendix A415
  • Appendix B416
  • Appendix C418
  • Appendix D420
  • Appendix E421
  • Exercises424
  • Further Reading and References437
  • CHAPTER 7. SEDIMENTATION443
  • 7.1 Introduction444
  • 7.2 Sedimentation Velocity of Interacting Spheres446
  • 7.3 Non-uniform Backflow461
  • 7.4 The Sedimentation-Diffusion Equilibrium468
  • 7.5 The Dynamics of Sediment Formation473
  • Exercises481
  • Further Reading and References490
  • CHAPTER 8. CRITICAL PHENOMENA495
  • 8.1 Introduction496
  • 8.2 Long Ranged Interactions501
  • 8.3 The Ornstein-Zernike Static Structure Factor with Shear Flow515
  • 8.4 The Temperature and Shear Rate Dependence of the Turbidity525
  • 8.5 Collective Diffusion530
  • 8.6 Anomalous Behaviour of the Shear Viscosity535
  • Appendix A548
  • Appendix B549
  • Exercises550
  • Further Reading and References555
  • CHAPTER 9. PHASE SEPARATION KINETICS559
  • 9.1 Introduction561
  • 9.2 Initial Spinodal Decomposition Kinetics567
  • 9.3 Initial Spinodal Decomposition of Sheared Suspensions580
  • 9.4 Small Angle Light Scattering by Demixing Suspensions586
  • 9.5 Demixing Kinetics in the Intermediate Stage590
  • 9.6 Experiments on Spinodal Decomposition607
  • Appendix A612
  • Appendix B615
  • Appendix C617
  • Appendix D618
  • Exercises622
  • Further Reading and References630
  • INDEX635
Book details
  • Vendor Elsevier S & T
  • SKU 9780444820099
  • ISBN-13 9780080535074
  • Author Dhont, J.K.G.
  • Category Science
  • Subject Analytic

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One of the few textbooks in the field, this volume deals with several aspects of the dynamics of colloids. A self-contained treatise, it fills the gap between research literature and existing books for graduate students and researchers. For readers with a background in chemistry, the first chapter contains a section on frequently used mathematical techniques, as well as statistical mechanics.

Some of the topics covered include:

• diffusion of free particles on the basis of the Langevin equation

•the separation of time, length and angular scales;

• the fundamental Fokker-Planck and Smoluchowski equations derived for interacting particles

• friction of spheres and rods, and hydrodynamic interaction of spheres (including three body interactions)

• diffusion, sedimentation, critical phenomena and phase separation kinetics

• experimental light scattering results.

For universities and research departments in industry this textbook makes vital reading.