Lubachevsky–Stillinger algorithm: Difference between revisions

Revision as of 13:20, 13 April 2011

Revision as of 15:12, 13 April 2011

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<ref> Crystalline-Amorphous Interface Packings for Disks and Spheres, F. H. Stillinger and B. D. Lubachevsky, J. Stat. Phys. 73, 497-514 (1993)</ref> .

However,

the LSA was firstlyoriginally

introduced <ref> B. D. Lubachevsky and F. H. Stillinger, Geometric properties of random disk pack- ings, J. Statistical Physics 60 (1990), 561-583 </ref>

<ref> B.D. Lubachevsky, How to Simulate Billiards and Similar Systems,

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in the setting with periodic

boundary conditions

where the virtual particles arewere "swelling" or expanding

in a fixed, final virtual volume without hard boundary.

The absolute sizes of the particles arewere increasing but particle-to-particle relative sizes remainremained constant.

Both,

an external compression and

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can also occur simultaneously in the LSA.

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

some particles, the so-called "rattlers," turn outare not to be jammed., Rattlersthey are mobileable to move

within "cages" formed by their immobile, jammed neighbors

and the boundary, if any.