## Electromechanics of ParticlesThe focus of this book is on the interactions of small particles, in the size range of microns to millimeters, with electric or magnetic fields. This field has particularly useful practical applications, for instance in photocopier technology and lately in the characterization and manipulation of cells and DNA molecules. The author's objective is to bring together diverse examples of field-particle interactions from many areas of science and technology and then to provide a framework for understanding their common electromechanical phenomena. Using examples from dielectrophoresis, magnetic brush xerography, electrorheology, cell electrorotation, and particle chain rotation, Professor Jones introduces a general model--the effective dipole method--to build a set of predictive models for the forces and torques responsible for the important electromechanical effects. In the last part of the book, the author covers the ubiquitous phenomenon of particle chaining. This book will be highly useful to material engineers and scientists, chemists, and biologists who work with particles, powders, or granular materials. |

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### Contents

1 Introduction | 1 |

2 Fundamentals | 5 |

3 Dielectrophoresis and magnetophoresis | 34 |

4 Particle rotation | 83 |

5 Orientation of nonspherical particles | 110 |

6 Theory of particle chains | 139 |

7 Force interactions between particles | 181 |

Analogies between electrostatic conduction and magnetostatic problems | 218 |

Models for layered spherical particles | 227 |

Transient response ofohmic dielectric sphere to a suddenly applied DC electric field | 236 |

Relationship of DEP and ROT spectra | 238 |

General multipolar theory | 248 |

Induced effective moment of dielectric ellipsoid | 251 |

253 | |

263 | |

Review of linear multipoles | 222 |

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### Common terms and phrases

AC electric ﬁeld alignment torque anisotropy Appendix Argand diagrams axis behavior biological cells calculate charge q Clausius—Mossotti function coefﬁcients complex components conductive particles deﬁned deﬁned by Equation deﬁnition DEP force DEP levitation dependence dielectric constant dielectric particles dielectric sphere dielectrophoretic dielectrophoretic force dielectrophoretic levitation effective dipole effective moment method elec electric ﬁeld E0 electrical torque electrodes electromechanics electrorotation electrostatic potential ellipsoid Equation ferromagnetic field ﬁnite ﬁrst ﬂow ﬂuid force and torque frequency-dependent higher-order homogeneous dielectric homogeneous sphere hysteresis identical image charges imposed induced inﬂuence interparticle forces Jones layer limit linear multipoles linearly polarized liquid lossless lossy magnetic ﬁeld magnetic particles magnetizable magnetostatic magnitude Maxwell stress tensor Maxwell—Wagner measurements membrane multipolar normalized oblate spheroid obtained ohmic loss parallel particle chains particle electromechanics peff permittivity perpendicular plots point charge problem protoplasts radius Re[K relaxation result Section solution spherical particle spheroid surface ticle time-average tion torque values Washizu