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In the "pre-jammed" mode when the density of the configuration is low and when the particles are mobile, the compression and expansion can be stopped, if so desired. Then the LSA, in effect, would be simulating a [[granular flow]]. Various dynamics of the instantaneous collisions can be simulated such as: with or without a full restitution, with or without tangential friction. Differences in masses of the particles can be taken into account. It is also easy and sometimes proves useful to "fluidize" a jammed configuration, by decreasing the sizes of all or some of the particles. Another possible extension of the LSA is replacing the hard collision [[force]] [[potential]] (zero outside the particle, infinity at or inside) with a piece-wise constant [[force]] [[potential]]. The LSA thus modified would approximately simulate [[molecular dynamics]] with continuous
short range particle-particle force interaction. External [[force field (physics)|force fields]], such as [[gravitation]], can be also introduced, as long as the inter-collision motion of each particle can be represented by a simple one-step calculation.
Using LSA for spherical particles 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 a [[crystallographic defect]]<ref>{{cite journal|doi=10.1007/bf02183698|title=Patterns of broken symmetry in the impurity-perturbed rigid-disk crystal|journal=Journal of Statistical Physics|volume=78|issue=3–4|pages=1011–1026|year=1995|last1=Stillinger|first1=Frank H.|last2=Lubachevsky|first2=Boris D.|bibcode=1995JSP....78.1011S}}</ref> or a [[geometrical frustration]]<ref>{{cite journal|doi=10.1103/physreve.70.041604|pmid=15600418|title=Epitaxial frustration in deposited packings of rigid disks and spheres|journal=Physical Review E|volume=70|issue=4|pages=041604|year=2004|last1=Lubachevsky|first1=Boris D.|last2=Stillinger|first2=Frank H.|bibcode=2004PhRvE..70d1604L|arxiv=cond-mat/0405650}}</ref><ref>{{cite journal|last1=Lubachevsky|first1=Boris D.|last2=Graham|first2=Ron L.|last3=Stillinger|first3=Frank H.|title=Spontaneous Patterns in Disk Packings|journal=Visual Mathematics|year=1995|url=http://vismath5.tripod.com/lub/}}</ref> It should be added that the original LS protocol was designed primarily for spheres of same or different sizes.<ref>{{cite journal|doi=10.1063/1.1511510|title=Computer generation of dense polydisperse sphere packings|journal=The Journal of Chemical Physics|volume=117|issue=18|pages=8212–8218|year=2002|last1=Kansal|first1=Anuraag R.|last2=Torquato|first2=Salvatore|last3=Stillinger|first3=Frank H.|bibcode=2002JChPh.117.8212K}}</ref>
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