## Advances in Particle AdhesionIn 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 |

### Common terms and phrases

adhesion force adhesion map Adhesion Sci Aerosol Aerosol Sci Ahmadi approximately asperities atoms calculated carrier Clarkson University coating coefficient coefficient of restitution Colloid Interface Sci contact area contact radius critical shear velocity D. S. Rimai density Derjaguin dielectric effect elastic electric field electron electrophotographic electrostatic Equation force curve function glass beads glass particles ground plane hematite hematite particles high tilt image force interactions ionic strength iterations JKR model kinetic energy L. P. DeMejo layer lift force material Matijevic measured mechanism microscope mixture multipoles oxide parameters particle adhesion particle and surface particle radius particle removal particle-substrate particles and substrates patch charge permittivity photoconductor Phys plastic deformation polymer polystyrene potential predicted radii rebound rectangle region removal force rough surfaces sample shown in Figure shows sphere spherical particle stress substrate surface forces surface roughness TC series Technol toner toner particles turbulent upper wall values variations Waals Young's modulus