Basic HTML version of Foils prepared February 25 2000

Foil 6 Particle Dynamics or Equivalent Problems

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox


1 Particles are sets of entities -- sometimes fixed (atoms in a crystal) or sometimes moving (galaxies in a universe)
2 They are characterized by force Fij on particle i due to particle j
3 Forces are characterized by their range r: Fij(xi,xj) is zero if distance |xi-xj| greater than r
4 Examples:
  • The universe
  • A globular star cluster
  • The atoms in a crystal vibrating under interatomic forces
  • Molecules in a protein rotating and flexing under interatomic force
5 Laws of Motion are typically ordinary differential equations
  • Ordinary means differentiate wrt one variable -- typically time

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