Molecular dynamic modeling was used to study the interactions between
nanometer size two-dimensional particles in proximity to the surface o
f a two-dimensional crystal composed of the same material. The modelin
g was conducted by using triangular lattices of atoms that interact th
rough a Lennard-Jones potential. The atoms were configured such that t
he particle consisted of a circle with 463 atoms. The crystal was in t
he shape of a rectangle and contained 442 atoms. The system was assume
d to have periodic boundary conditions. It was first allowed to equili
brate with an assumed dimensionless kinetic energy per atom of 0.2 eps
ilon. Subsequently, the particle was made to approach the surface at a
velocity of 0.387 sigma/t (corresponding to 6.25 m/s for argon), whic
h is small compared with the speed of sound in the material. The appro
ach was conducted in two modes:(1) centroidal displacement control at
constant temperature and (2) free flight at the same intercentroidal v
elocity of approach. For each case, the intercentroidal distance, velo
city, and forces were determined as the particle approached, made cont
act, and relaxed into the surface. The computation followed the respon
se of the system for a total of 11900 iterations (corresponding to 2.5
4 ns for argon). The particles and surfaces were found to deform befor
e, during and after impact. Surface forces were sufficiently large to
prevent the particles from separating from the substrate following the
collision. The excess energy generated acoustic waves and lattice def
ects. The geometry of the system at selected times was used to illustr
ate the deformations that occur. Results based on a molecular statics
approach are also presented for comparison with analytical models base
d on potentials. Finally, preliminary results of a particle being remo
ved from the substrate are presented.