The explosive release of energy by a plasma is a common and striking o
ccurrence. A novel explosive scenario is demonstrated in a simple syst
em that becomes unstable to a line tied Rayleigh-Taylor-Parker instabi
lity. The system crosses the linear instability threshold in a narrow
region. Initially the instability grows in the narrow region. Two nonl
inear terms become important at low amplitude. One nonlinearity causes
the mode to grow explosively and narrow into finger-like structures.
The other nonlinearity broadens the mode into the linearly stable regi
on. The explosive nonlinearity makes the linearly stable region metast
able. The combination of the two nonlinearities causes the mode to pro
gressively destabilize the metastable region. Since this process is re
miniscent of the detonation of chemical explosives, it is called deton
ation. Without dissipation the kinetic energy released is proportional
to (t(0)-t)(-6.4) (C) 1996 American Institute of Physics.