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Using the molecular dynamics method, we examine a discrete deterministicmodel for the motion of spherical particles in three-dimensional space. Themodel takes into account multiparticle collisions in arbitrary forms. Usingfractional calculus we proposed an expression for the repulsive force, which isthe so called fractional interaction law. We then illustrate and discuss how tocontrol (correlate) the energy dissipation and the collisional time for anindividual article within multiparticle collisions. In the multiparticlecollisions we included the friction mechanism needed for the transition fromcoupled torsion-sliding friction through rolling friction to static friction.Analysing simple simulations we found that in the strong repulsive state binarycollisions dominate. However, within multiparticle collisions weak repulsion isobserved to be much stronger. The presented numerical results can be used torealistically model the impact dynamics of an individual particle in a group ofcolliding particles.Comment: 17 pages, 8 figures, 1 table; In review process of Physical Review

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