Lubachevsky–Stillinger algorithm: Difference between revisions

Revision as of 12:54, 13 April 2011

Revision as of 13:20, 13 April 2011

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of hard particles. As the LSA may need thousands of arithmetic operations even for a few particles,

it is usually carried out on a digital computer.

A real physical process of compression often

involves a contracting hard boundary of the container,

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

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in the setting with periodic

boundary conditions

where the virtual particles are compressed"swelling" or expanding

where

in a fixed, final virtual volume without hard boundary.

the virtual particles are compressed

by "swelling" or expanding

in a fixed, final

virtual volume without hard boundary.

The absolute sizes of the particles are increasing but particle-to-particle relative sizes remain constant.

Both,

As a result, in a final, compressed, or "jammed" state,

an external compression and

an internal particle expansion,

can also occur simultaneously in the LSA.

As a result, inIn a final, compressed, or "jammed" state,

some particles, the so-called "rattlers," turn out not to be jammed. Rattlers are mobile

within "cages" formed by their immobile, jammed neighbors