  We perform numerical simulations of active ideal and self-avoiding tethered
membranes. Passive ideal membranes with bending interactions are known to
exhibit a continuous crumpling transition between a low temperature flat phase
and a high temperature crumpled phase. Conversely, self-avoiding membranes
remain in an extended (flat) phase for all temperatures even in the absence of
a bending energy. We find that the introduction of active fluctuations into the
system produces a phase behavior that is overall consistent with that observed
for passive membranes. The phases and the nature of the transition for ideal
membranes is unchanged and active fluctuations can be remarkably accounted for
by a simple rescaling of the temperature. For the self-avoiding membrane, we
find that the extended phase is preserved even in the presence of very large
active fluctuations.
