Bm. Rice et al., MOLECULAR-DYNAMICS STUDY OF DETONATION .1. A COMPARISON WITH HYDRODYNAMIC PREDICTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 611-622
We have compared the predictions of hydrodynamic theory for the proper
ties of an unsupported detonation with the results of a molecular dyna
mics simulation of such a phenomenon. The model of an energetic crysta
l consists of heteronuclear diatomic molecules that require energy to
break the molecular bonds (at ambient pressure); substantial energy is
then released upon association of the products to form homonuclear di
atomic molecules. The equation of state used in the hydrodynamic theor
y is determined from two-dimensional molecular dynamics simulations of
this model at various equilibrium conditions corresponding to volumes
and temperatures appropriate to the detonation. The Chapman-Jouguet c
onditions of detonation were thus determined. The properties of the de
tonation were subsequently measured directly from two-dimensional mole
cular dynamics simulations of the crystal model subjected to shock ini
tiation. The agreement between the hydrodynamic predictions and the me
asured properties is good. Deviations from exact agreement are attribu
ted to slight differences in material composition in the detonation si
mulation compared to that of the equation of state calculations. The c
ritical property for sustained detonation using this model appears to
be the attainment of the Chapman-Jouguet density.