Modeling of Magnetic Particle Suspensions for Simulations  book cover
1st Edition

Modeling of Magnetic Particle Suspensions for Simulations

ISBN 9781498740913
Published November 10, 2016 by CRC Press
380 Pages 131 B/W Illustrations

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Book Description

The main objective of the book is to highlight the modeling of magnetic particles with different shapes and magnetic properties, to provide graduate students and young researchers information on the theoretical aspects and actual techniques for the treatment of magnetic particles in particle-based simulations. In simulation, we focus on the Monte Carlo, molecular dynamics, Brownian dynamics, lattice Boltzmann and stochastic rotation dynamics (multi-particle collision dynamics) methods. The latter two simulation methods can simulate both the particle motion and the ambient flow field simultaneously. In general, specialized knowledge can only be obtained in an effective manner under the supervision of an expert.

The present book is written to play such a role for readers who wish to develop the skill of modeling magnetic particles and develop a computer simulation program using their own ability. This book is therefore a self-learning book for graduate students and young researchers. Armed with this knowledge, readers are expected to be able to sufficiently enhance their skill for tackling any challenging problems they may encounter in future.

Table of Contents

General Remarks

Application fields of magnetic particle suspensions

Multi-functionalized magnetic particles

General magnetic characteristics of magnetic particles

Modeling of magnetic characteristics of fine particles from a simulation point of view

Related physical phenomena

Particle-based simulation methods


Forces, Energies and Torques Acting on Magnetic Particles

Similarity to electrostatic expressions

Magnetic particle-particle and particle-field interactions

Repulsive interaction due to overlap of the steric layers

Repulsive interaction due to overlap of the electric double layers

Interaction due to van der Walls attraction

Maxwell stress tensor


Modeling of Magnetic Particles for Particle-Based Simulations

Spherical particles

Spheroidal particles

Spherocyliner particles

Disk-like particles

Cube-like particles


Two Coordinate Systems for Description of Particle Orientation

Rotation matrix

Rotation of axisymmetric particles

Rotation of cubic particles






Criterion of Particle Overlap

Spheroidal particles

Spherocyliner particles

Disk-like particles

Cube-like particles


Particle-Based Simulation Methods

Monte Carlo method

Molecular dynamics method

Brownian dynamics method

Lattice Boltzmann method

Multi-particle collision dynamics method


Strategy of Simulations

Generation of rotation of non-spherical particles

Lees-Edwards boundary condition

Analysis of the formation of clusters

Attempt of cluster movement in Monte Carlo simulations


Description of System Characteristics

Radial distribution function

Pair correlation function

Orientational distribution function

Orientational pair correlation function

Order parameters

Cluster size distribution


Several Examples of Simulations

Monte Carlo simulations of cube-like particles

Brownian dynamics simulations of disk-like particles


Topics of Current Applications

Magnetic particle hyperthermia

Magnetically-propelled microswimmer


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