Lubachevsky–Stillinger algorithm: Difference between revisions

Revision as of 10:32, 22 May 2011

Revision as of 06:05, 23 May 2011

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involves a contracting hard boundary of the container,

such as a piston pressing against the particles. The LSA is able to simulate

such a scenario

such a scenario <ref>Boris D. Lubachevsky and Frank H. Stillinger, Epitaxial frustration in deposited packings of rigid disks and spheres. Physical Review E 70:44, 41604 (2004) http://arxiv.org/PS_cache/cond-mat/pdf/0405/0405650v5.pdf</ref>

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

However,

the LSA was originally introduced in the setting

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for spherical particles, though the spheres may be

of different sizes

.<ref>A.R. Kansal, S. Torquato, and F.H. Stillinger, Computer Generation of Dense Polydisperse Sphere Packings, J. Chem. Phys. 117, 8212-8218 (2002)</ref>

and

using LSA for spheres of different sizes and/or for jamming in a non-commeasureable size

container proved to be a useful technique

for generating and studying micro-structures formed

under conditions of

[[geometric frustrations]].

such a scenario <ref>Boris D. Lubachevsky and Frank H. Stillinger, Epitaxial frustration in deposited packings of rigid disks and spheres. Physical Review E 70:44, 41604 (2004) http://arxiv.org/PS_cache/cond-mat/pdf/0405/0405650v5.pdf</ref>.

<ref>Boris D. Lubachevsky, Ron L. Graham, and Frank H. Stillinger, Spontaneous Patterns in Disk Packings.

Visual Mathematics, 1995.

http://vismath5.tripod.com/lub/

</ref>

Any deviation from the spherical

(or circular in two dimensions) shape, even a simplest one, when spheres are replaced with ellipsoids (or ellipses in two dimensions)