Particle Modeling

Résumé
A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.

Contenu
I. Mathematical, Physical and Numerical Considerations.- 1. Particle Modeling: What It Is and What It Is Not.- 2. Numerical Methodology.- II. Qualitative Newtonian Modeling.- 3. Elastic Strings and Solitons.- 4. Elastic Snap Through.- 5. Minimal Surfaces.- 6. Biological Self Reorganization.- 7. Cavity Flow.- 8. Turbulent and Nonturbulent Vortices.- 9. Liquid Drop Formation, Fall, and Collision.- 10. Conservative Motion of Tops and Gyroscopes.- III. Quantitative Modeling.- 11. Stress Wave Propagation in Slender Bars.- 12. Colliding Microdrops of Water.- 13. Crack Development in a Stressed Copper Plate.- 14. Liquid Drop Formation on a Solid Surface.- 15. Fluid Bubbles and Jiggling Gels.- 16. Melting Points.- 17. Special Relativistic Motion.- 18. A Speculative Model of the Diatomic Molecular Bond.- References and Sources for Further Reading.- Appendices FORTRAN Programs and Related Formulas.- A1. Stress. For.- A2. Drop. For.- A3. Morse. For.- A4. Ghexa. For.- A5. Newtonian Iteration Formulas.