Muutke küpsiste eelistusi

Modeling of Magnetic Particle Suspensions for Simulations [Kõva köide]

(Akita Prefectural University, Yuri-Honjo, Japan)
  • Formaat: Hardback, 380 pages, kõrgus x laius: 234x156 mm, kaal: 657 g, 131 Illustrations, black and white
  • Ilmumisaeg: 10-Nov-2016
  • Kirjastus: CRC Press Inc
  • ISBN-10: 149874091X
  • ISBN-13: 9781498740913
  • Formaat: Hardback, 380 pages, kõrgus x laius: 234x156 mm, kaal: 657 g, 131 Illustrations, black and white
  • Ilmumisaeg: 10-Nov-2016
  • Kirjastus: CRC Press Inc
  • ISBN-10: 149874091X
  • ISBN-13: 9781498740913

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.

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