Lubachevsky–Stillinger algorithm: Difference between revisions

Revision as of 16:32, 5 May 2011

Revision as of 20:20, 5 May 2011

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combined with a

hard boundary, and the boundary can be mobile.

In a final, compressed, or "jammed" state,

some particles, the so-called "rattlers," are not jammed, they are able to move

within "cages" formed by their immobile, jammed neighbors

and the boundary, if any.

The appearance of rattlers isare not aan artifact, designed, or

target feature

of the LSA, but a real phenomenon,

that the simulation, somewhat unexpectedly, reveals.

Frank Stillinger coined the term from the observation

that if one physically shakes a compressed bunch of hard

particles, some of them, the rattlers, will be rattling.

In the pre-"jammed" mode

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dynamic [[granular flow]].

Various dynamics of the instantaneous collisions

can be simulated such as: with or without a full restitution,

with or without tangential friction, and so on.

Differences in masses of the particles can be taken

into account.

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by decreasing the sizes of all or some of the particles.

Another possible extension of the LSA is replacing

the hard collision [[force]] [[potential]]

the

hard collision potential

(zero outside the particle, infinity at or inside) with

a piece -wise constant [[force]] [[potential]]. Thus modified LSA

would approximate

a molecular dynamic simulation with continuous