| Preface |
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1 | (22) |
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1.1 Application fields of magnetic particle suspensions |
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1 | (2) |
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1.2 Multi-functionalized magnetic particles |
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3 | (2) |
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1.3 General magnetic characteristics of magnetic particles |
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5 | (5) |
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1.4 Modeling of magnetic characteristics of fine particles from a simulation point of view |
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10 | (3) |
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1.5 Related physical phenomena |
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13 | (2) |
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1.6 Particle-based simulation methods |
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15 | (8) |
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18 | (5) |
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2 Forces, Energies and Torques Acting on Magnetic Particles |
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23 | (28) |
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2.1 Similarity to electrostatic expressions |
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23 | (4) |
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2.2 Magnetic particle-particle and particle-field interactions |
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27 | (5) |
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2.3 Repulsive interaction due to overlap of the steric layers |
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32 | (10) |
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2.4 Repulsive interaction due to overlap of the electric double layers |
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42 | (3) |
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2.5 Interaction due to van der Waals attraction |
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45 | (1) |
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2.6 Maxwell stress tensor |
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46 | (5) |
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49 | (2) |
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3 Modeling of Magnetic Particles for Particle-Based Simulations |
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51 | (41) |
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51 | (7) |
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58 | (9) |
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3.3 Spherocylinder particles |
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67 | (8) |
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75 | (7) |
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82 | (10) |
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91 | (1) |
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4 Two Coordinate Systems for Description of Particle Orientation |
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92 | (9) |
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92 | (3) |
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4.2 Rotation of axisymmetric particles |
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95 | (1) |
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4.3 Rotation of cubic particles |
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96 | (5) |
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5 Criterion of Particle Overlap |
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101 | (33) |
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101 | (7) |
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5.2 Spherocylinder particles |
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108 | (4) |
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112 | (7) |
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119 | (15) |
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5.4.1 Face-to-face overlap |
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121 | (2) |
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5.4.2 Face-to-line overlap in the parallel situation |
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123 | (1) |
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5.4.3 Face-to-corner overlap |
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124 | (2) |
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5.4.4 Line-to-line overlap outside a face in a certain face direction |
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126 | (4) |
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5.4.5 Line-to-line overlap outside a face in the outward corner direction |
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130 | (2) |
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5.4.6 Summary of the assessment procedure regarding the particle overlap between two cube-like particles |
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132 | (1) |
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133 | (1) |
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6 Particle-Based Simulation Methods |
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134 | (40) |
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134 | (8) |
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6.2 Molecular dynamics method |
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142 | (8) |
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6.2.1 For the case of the inertia being taken into account |
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143 | (4) |
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6.2.2 For the case of the inertia being negligible |
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147 | (3) |
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6.3 Brownian dynamics method |
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150 | (7) |
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6.3.1 For the case of a dilute suspension of spherical particles |
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151 | (1) |
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6.3.2 For the case of a dilute suspension of axisymmetric particles |
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152 | (5) |
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6.4 Lattice Boltzmann method |
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157 | (10) |
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6.4.1 BGK lattice Boltzmann method for a pure fluid system |
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159 | (3) |
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6.4.2 Boundary conditions |
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162 | (1) |
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6.4.3 Forces and torques acting on particles dispersed in a suspension |
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163 | (1) |
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6.4.4 Method for activating the particle Brownian motion based on fluctuation hydrodynamics |
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164 | (1) |
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6.4.5 Hybrid method of lattice Boltzmann and Brownian dynamics for activating the particle Brownian motion |
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165 | (2) |
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6.5 Multi-particle collision dynamics method |
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167 | (7) |
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172 | (2) |
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7 Strategy of Simulations |
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174 | (24) |
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7.1 Generation of rotation of non-spherical particles |
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174 | (2) |
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7.2 Lees-Edwards boundary condition |
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176 | (4) |
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7.3 Analysis of the formation of clusters |
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180 | (8) |
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7.4 Attempt of cluster movement in Monte Carlo simulations |
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188 | (10) |
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197 | (1) |
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8 Description of System Characteristics |
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198 | (31) |
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8.1 Radial distribution function |
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198 | (7) |
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8.2 Pair correlation function |
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205 | (3) |
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8.3 Orientational distribution function |
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208 | (7) |
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8.4 Orientational pair correlation function |
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215 | (6) |
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221 | (4) |
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8.6 Cluster size distribution |
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225 | (4) |
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228 | (1) |
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9 Several Examples of Simulations |
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229 | (117) |
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9.1 Monte Carlo simulations of cube-like particles |
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229 | (53) |
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9.1.1 Formulation of the present 2D phenomenon and modeling of magnetic cube-like particles |
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230 | (2) |
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232 | (2) |
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9.1.3 Attempt of translational movement of the particles and rotational motion of the magnetic moments |
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234 | (1) |
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9.1.4 Assessment of the particle overlap and the cluster formation |
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235 | (1) |
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9.1.5 Description of the characteristics of the system |
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236 | (2) |
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9.1.6 Specification of parameters for simulations |
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238 | (1) |
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9.1.7 Results and discussion |
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239 | (12) |
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9.1.8 Sample simulation program |
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251 | (31) |
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9.2 Brownian dynamics simulations of disk-like particles |
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282 | (64) |
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9.2.1 Formalization of the present phenomenon and modeling of magnetic disk-like particles |
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283 | (4) |
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9.2.2 Basic equations of translational and rotational Brownian motion |
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287 | (2) |
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9.2.3 Normalization and non-dimensional parameters characterizing the phenomenon |
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289 | (1) |
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9.2.4 Calculation of the repulsive interactions due to the steric layers and treatment of the particle overlap |
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290 | (4) |
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9.2.5 Modification of the magnetic moment direction in relation to the change in the particle direction |
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294 | (1) |
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9.2.6 Parameters for simulations |
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294 | (1) |
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9.2.7 Results and discussion |
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295 | (12) |
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9.2.8 Sample simulation program |
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307 | (38) |
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345 | (1) |
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10 Topics of Current Applications |
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346 | (17) |
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10.1 Magnetic particle hyperthermia |
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346 | (8) |
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10.1.1 Relaxation of magnetic moment |
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347 | (2) |
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10.1.2 In-phase and out-of-phase susceptibility components |
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349 | (3) |
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10.1.3 Formularization of power dissipation in magnetic particle suspension |
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352 | (2) |
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10.2 Magnetically-propelled microswimmer |
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354 | (9) |
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10.2.1 Microswimmer of a magnetic helix |
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355 | (3) |
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10.2.2 Microswimmer of a magnetic particle head with a helical tail |
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358 | (1) |
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10.2.3 Microswimmer of two-magnetic particles connected by an elastic element |
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359 | (2) |
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361 | (2) |
| How to Acquire the Sample Simulation Programs |
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363 | (2) |
| Index |
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365 | |