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Brownian Motion: Elements of Colloid Dynamics 2018 ed. [Kietas viršelis]

  • Formatas: Hardback, 178 pages, aukštis x plotis: 235x155 mm, weight: 465 g, 15 Illustrations, color; 35 Illustrations, black and white; XVII, 178 p. 50 illus., 15 illus. in color., 1 Hardback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 11-Oct-2018
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319980521
  • ISBN-13: 9783319980522
  • Formatas: Hardback, 178 pages, aukštis x plotis: 235x155 mm, weight: 465 g, 15 Illustrations, color; 35 Illustrations, black and white; XVII, 178 p. 50 illus., 15 illus. in color., 1 Hardback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 11-Oct-2018
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3319980521
  • ISBN-13: 9783319980522
This textbook is an introduction to the Brownian motion of colloids and nano-particles, and the diffusion of molecules.





 One very appealing aspect of Brownian motion, as this book illustrates, is that the subject connects a broad variety of topics, including thermal physics, hydrodynamics, reaction kinetics, fluctuation phenomena, statistical thermodynamics, osmosis and colloid science.





 The book is based on a set of lecture notes that the authors used for an undergraduate course at the University of Utrecht, Netherland. It aims to provide more than a simplified qualitative description of the subject, without getting bogged down in difficult mathematics.





Each chapter contains exercises, ranging from straightforward ones to more involved problems, addressing instances from (thermal motion in) chemistry, physics and life sciences. Exercises also deal with derivations or calculations that are skipped in the main text.





The book offers a treatment of Brownian motion on a level appropriate for bachelor/undergraduate students of physics, chemistry, soft matter and the life sciences. PhD students attending courses and doing research in colloid science or soft matter will also benefit from this book.
1 A First Round of Brownian Motion
1(8)
1.1 A Restless Realm
1(2)
1.2 Stokes-Einstein Relations
3(1)
1.3 The Particle Quartet
4(2)
1.4 Outlook
6(3)
2 A Feverish Sphinx
9(12)
2.1 Through a Small Grain of Glass
9(3)
2.2 Molecular Size
12(1)
2.3 Molecular Reality
13(2)
2.4 Colloids Are Molecules
15(3)
2.5 Kinetic Therapy
18(3)
References
20(1)
3 Kinetic Theory
21(26)
3.1 The Basis
21(2)
3.2 Free Volumes and Collisions
23(4)
3.3 Pressure from Ideal Thermal Particles
27(4)
3.4 Velocity Distributions and Energy Equipartition
31(11)
3.5 Soft Matters
42(5)
References
45(2)
4 A Tale of Ten Time Scales
47(14)
4.1 Brownian Versus Ballistic Motion
47(2)
4.2 Mass-Related Time Scales
49(6)
4.3 The Diffusive Regime
55(6)
References
60(1)
5 Continuity, Gradients and Fick's Diffusion Laws
61(10)
5.1 The Continuity Equation
61(3)
5.2 Constitutive Equations and Fick's Laws
64(3)
5.3 Stationary Diffusion
67(1)
5.4 Diffusion in a Dilute Gas
68(3)
References
70(1)
6 Brownian Displacements
71(22)
6.1 Einstein for Chemists
71(6)
6.2 Translational Diffusion Coefficient from Equilibrium
77(3)
6.3 Quadratic Displacements via Einstein's Diffusion Approach
80(2)
6.4 Brownian Motion from Newtonian Mechanics
82(3)
6.5 Angular Displacements from a Diffusion Equation
85(3)
6.6 The Rotational Diffusion Coefficient
88(5)
References
91(2)
7 Fluid Flow
93(12)
7.1 Fluid Velocity Fields
94(2)
7.2 The Navier--Stokes Equation
96(4)
7.3 Stokes Flow
100(2)
7.4 On Magnitude
102(3)
References
103(2)
8 Flow Past Spheres and Simple Geometries
105(16)
8.1 Slits and Tubes---and Darcy's Law
105(4)
8.2 Friction Factor of a Rotating Sphere
109(4)
8.3 The Translational Friction Factor
113(5)
8.4 Stick, Slip and the Lotus Sphere
118(3)
References
120(1)
9 Encounters of the Brownian Kind
121(12)
9.1 Diffusion Versus Convection
121(2)
9.2 Brownian Motion Towards a Spherical Absorber
123(4)
9.3 Diffusional Sphere Growth
127(1)
9.4 Birth and Growth of Brownian Clusters
127(6)
References
132(1)
10 Random Walks in External Fields
133(14)
10.1 One-Dimensional Diffusion
134(2)
10.2 Radial Brownian Motion and Colloidal Stability
136(2)
10.3 Brownian Motion in a Shear Flow
138(1)
10.4 Brownian Magnets in a Magnetic Field
139(3)
10.5 Gravity
142(3)
10.6 Exercises
145(2)
References
145(2)
11 Brownian Particles and Van't Hoff's Law
147(8)
11.1 Thermodynamics of Dilute Solutions
148(2)
11.2 Osmotic Pressure Gauged via the Solvent
150(1)
11.3 Osmotic Pressure from Brownian Motion; Vrij's Statistical Approach
151(4)
References
154(1)
Appendix A Moments, Fluctuations and Gaussian Integrals 155(4)
Appendix B Summary Vector Calculus 159(6)
Appendix C Answers to Selected Exercises 165(10)
Index 175
Albert P. Philipse (1956) studied chemistry and philosophy at Utrecht University and achieved his PhD (1987) in colloid science, with a thesis on light scattering from concentrated dispersions of charged silica spheres. At the Energy Research Center (ECN, The Netherlands), he lead projects on colloidal processing of technical ceramics and inorganic foams. In 1991 he joined the Van t Hoff Laboratory for Physical and Colloid Chemistry at Utrecht University where he is full professor of Physical Chemistry since 1994. Alberts main research interests are the chemical synthesis, thermodynamics and physical transport properties of dispersions of charged, magnetic and non-spherical  colloids.





Albert was Director of Chemical Education in 2006-2009 and is since 2016 Director of the master program Nano-Materials Science of Utrecht University. He teaches physical chemistry, thermodynamics and colloid science on bachelor, master and PhD level. He also has a teaching assignment inhistory of chemistry, and delivers guest lectures in primary and secondary schools. In addition to colloid science, Alberts enthusiasms include music, travelling, cooking, and Ancient Greek.