Advances in Particle Adhesion

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CRC Press, Mar 18, 1996 - Science - 216 pages
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In recent years, there has been an upsurge of interest in using techniques drawn from probability to tackle problems in analysis. These applications arise in subjects such as potential theory, harmonic analysis, singular integrals, and the study of analytic functions. This book presents a modern survey of these methods at the level of a beginning Ph.D. student. Highlights of this book include the construction of the Martin boundary, probabilistic proofs of the boundary Harnack principle, Dahlberg's theorem, a probabilistic proof of Riesz' theorem on the Hilbert transform, and Makarov's theorems on the support of harmonic measure.
The author assumes that a reader has some background in basic real analysis, but the book includes proofs of all the results from probability theory and advanced analysis required. Each chapter concludes with exercises ranging from the routine to the difficult. In addition, there are included discussions of open problems and further avenues of research.
 

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Contents

Electrostatic Force on a Moist Particle Near a Ground Plane
15
Toner Adhesion
41
Aerosol Particle Deposition in a Recirculation Region
87
Particle Detachment from Rough Surfaces in Turbulent Flows
105
What Might They Tell
125
The Adhesion of Particles to Polymer Coated Substrates
139
Surface Roughness and Particle Adhesion
157
Determination of the 1soelectric Point of Planar Oxide Surfaces
181
A Method of Determining the Contact Area Between a Particle
191
Author Index
211
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