We have performed molecular-dynamics (MD) simulations to obtain the interna
l energy and pressure of shock-compressed fluid nitrogen for over 60 differ
ent (density, temperature) points. Calculations were performed using the ge
neralized gradient approximation in density-functional theory (DFT). The si
ngle-shock Hugoniot derived from this equation of state agrees well with ga
s-gun experiments for pressure vs density. As density and pressure increase
along the Hugoniot, the system appears to undergo a continuous transition
from a molecular to a partially dissociated fluid containing a mixture of a
toms and molecules. A small fraction of clusters larger than dimers were fo
und; however, these larger clusters were of a highly transient nature, with
lifetimes of a few femtoseconds. This behavior closely resembles many feat
ures in the DFT-MD results for deuterium in the same general regime.