Using the fractional interaction law to model the impact dynamics in arbitrary form of multiparticle collisions

Simple item page
dc.creatorLeszczynski, Jacek S.
dc.date2004-04-07
dc.date.accessioned2026-07-07T05:51:39Z
dc.date.available2026-07-07T05:51:39Z
dc.descriptionUsing the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional calculus we proposed an expression for the repulsive force, which is the so called fractional interaction law. We then illustrate and discuss how to control (correlate) the energy dissipation and the collisional time for an individual article within multiparticle collisions. In the multiparticle collisions we included the friction mechanism needed for the transition from coupled torsion-sliding friction through rolling friction to static friction. Analysing simple simulations we found that in the strong repulsive state binary collisions dominate. However, within multiparticle collisions weak repulsion is observed to be much stronger. The presented numerical results can be used to realistically model the impact dynamics of an individual particle in a group of colliding particles.
dc.description17 pages, 8 figures, 1 table; In review process of Physical Review E
dc.identifierhttps://arxiv.org/abs/physics/0404036
dc.identifierhttp://arxiv.org/abs/physics/0404036
dc.identifierPhysical Review E 70(5), 2004, 051315
dc.identifierdoi:10.1103/PhysRevE.70.051315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86057
dc.subjectComputational Physics
dc.subjectGeophysics
dc.titleUsing the fractional interaction law to model the impact dynamics in arbitrary form of multiparticle collisions
dc.typetext

Files

Collections

arXiv