1.

Record Nr.

UNINA9910813961803321

Autore

Greenspan Donald

Titolo

N-body problems and models [[electronic resource] /] / Donald Greenspan

Pubbl/distr/stampa

Singapore ; ; Hong Kong, : World Scientific, c2004

ISBN

1-281-87704-2

9786611877040

981-256-549-3

Edizione

[1st ed.]

Descrizione fisica

1 online resource (193 p.)

Disciplina

530.14/4

Soggetti

Many-body problem - Computer simulation

Many-body problem - Mathematical models

Molecules - Computer simulation

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 175-177) and index.

Nota di contenuto

Preface; Contents; Problem Statement; 1. The 1-Body Problem; 2. N-Body Problems with 2  10000. The Cavity Problem; 5. N(Number of Molecules) > 10000. Crack and Fracture Development; 6. N(Molecules) > 10000. Contact Angle of Adhesion; 7. A Particle Model of Carbon Dioxide Bubbles in Water; 8. A Particle Model a Dodecahedral Rotating Top; 9. A Particle Model of Self Reorganization; 10. Particle Model of a Bouncing Elastic Ball; 11. Particle Model of String Solitons

12. Particle Models of Minimal Surfaces and Saddle SurfacesAppendix I A Generic Program for Kutta's Fourth Order Formulas for Second Order Initial Value Problems; Appendix II Newton's Iteration Formulas for Systems of Algebraic and Transcendental Equations; Appendix III The Leap Frog Formulas; References and Additional Sources; Index

Sommario/riassunto

The study and application of N-body problems has had animportant role in the history of mathematics. In recent years, theavailability of modern computer technology has added to theirsignificance, since computers can now be used to model material bodiesas atomic and molecular configurations, i.e. as N-bodyconfigurations.