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it is possible for a few particles, even just for a single particle, to experience a very high collision rate along the approach to a certain simulated time. The rate will be increasing without a bound in proportion to the rates of collisions in the rest of the particle ensemble. If this happens, then the simulation will be stuck in time, it won't be able to progress toward the state of jamming.
The stuck-in-time failure can also occur when simulating a granular flow, without the particle compression or expansion. This failure mode was recognized by the practitioners of granular flow simulations as an "inelastic collapse" <ref>S. McNamara, and W.R. Young, Inelastic collapse in two dimensions, Physical Review E 50: pp. R28-R31, 1994</ref> because it often occurs in such simulations when [[restitution coefficient]] at collisions is low (and hence the collisions are inelastic). The failure is not specific to only the LSA algorithm. Techniques to avoid the failure have been proposed.<ref>John J. Drozd, Computer Simulation of Granular Matter: A Study of An Industrial Grinding Mill, Thesis, Univ. Western Ontario, Canada, 2004. {{cite web |url=http://imaging.robarts.ca/~jdrozd/thesisjd.pdf |title=Archived copy |accessdate=2011-05-25 |deadurl=yes |archiveurl=https://web.archive.org/web/20110818102135/http://imaging.robarts.ca/~jdrozd/thesisjd.pdf |archivedate=2011-08-18 |df= }}</ref>
== History ==
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* [http://cherrypit.princeton.edu/Packing/C++/ Source C++ codes of a version of the LSA in arbitrary dimensions]
* [http://people.physics.anu.edu.au/~tas110/Pubblicazioni/ReggioC_10a.pdf Volume fluctuation distribution in granular packs studied using the LSA]
* [
* [http://onlinelibrary.wiley.com/doi/10.1002/pamm.200610180/pdf LSA used for production of representative volumes of microscale failures in packed granular materials]
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