Mathematical Physics - Volume II - Numerical Methods

6.2.3 Integration Algorithms . . . . . . . . . . . . . . . . . . . 2. 2.8 6.2.4 Calculation of Macro-parameters of State . . . . . . . . . 2. 2.9 6.2.5 MD Simulation Cell and List of Neighbors . . . . . . . . 2. 3.4 6.2.6 Temperature and Pressure Control . . . . . . . . . . . . . 2. 3.5 6.2.7 Advantages and Disadvantages of Traditional MD . . . . .23.7 6.3 Particle Dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . 2. 3.9 6.3.1 Basic Idea of PD . . . . . . . . . . . . . . . . . . . . . . 2. 3.9 6.3.2 Interparticle Potentials . . . . . . . . . . . . . . . . . . . 2. 4.0 6.4 Lattices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2. 4.4 6.4.1 Basic idea of Lattice Models . . . . . . . . . . . . . . . . 2. 4.5 6.4.2 Lattices with Central Interactions ( α Models) . . . . . . . 2. 4.5 6.4.3 Lattices with Central and Angular Interactions ( α − β Mode2ls4)9 6.4.4 Lattices with Beam Interactions . . . . . . . . . . . . . . .25.1 6.4.5 Various Aspects of Lattice Modeling . . . . . . . . . . . . 2. 5.5 6.5 Discrete Element Methods . . . . . . . . . . . . . . . . . . . . . .25.7 6.5.1 Basic idea of DEM . . . . . . . . . . . . . . . . . . . . . .25.7 6.5.2 Contact Algorithms . . . . . . . . . . . . . . . . . . . . . 2. 5.9 6.5.3 DEM Modeling of Particulate Systems . . . . . . . . . . .26.1 6.5.4 DEM Modeling of Solid Materials . . . . . . . . . . . . . 2. 6.4 Bibliography 273 Index 283