Traditional molecular dynamics simulations
**Previous:** Predictions of flux tube model
**Up:** Introduction
**Next:** Equations of motion

## Traditional molecular dynamics simulations

A molecular dynamics simulation is a method with a simple approach: take
the initial condition equations one wishes to solve, and apply
numerical integration techniques to them. Usually, the problem is not
tractable by analytical techniques because of the large number of
particles involved.

Traditionally, molecular dynamics simulations are applied to very
large numbers of particles, often with ill-defined, or very
complicated interaction equations.
A typical application is fluid flow simulations:

- the number of cells (
* molecules*) is large ()
- the time over which interesting things occur (turbulence,
vortices, phase changes) is long
- the force function(s) are local properties only

Point three is not true in the flux tube simulation: the direction of
the force depends on the pairings. The optimal pairing is not a local
function, but is globally determined. This global nature of the forces
makes the problem computationally more difficult: a large molecular
dynamics simulation can often otherwise be broken up into many smaller
pieces, with each piece computed in parallel.

One property of the flux-tube simulation is that the desired
simulation size is not large. A simulation of a large atomic nucleus
(say U-238), would involve 238 nucleons, or 714 quarks. As will be
seen later,
the classical mesonic simulation should go as ( being the number of quarks).
The baryonic simulation, however, requires time.

[1] and [10] provide good arguments for designing
heuristics that do not require complete enumeration of all
combinations. These heuristics were not applied because of the
limitation to mesonic matter.

*mcr@ccs.carleton.ca*