  We study aspects of the thermodynamics of Little String Theory, using its
geometrical definition in critical ten-dimensional string theory. We find that
bulk radiation effects tend to screen the Hagedorn behaviour of the theory, in
contrast to the behaviour in the AdS system background. The resulting density
of states of the system, when stable, is described by a seven-dimensional
nonrelativistic gas. This requires modifications of the holographic Little
Hagedorn picture. Using deconstructions we suggest such modifications. The
model is embedded into a system which has an ultraviolet fixed point with an
AdS description. We investigate the thermodynamical properties of these UV
completed models. It is found that the Hagedorn regime survives in a finite
band of superheated states that eventually decay into the plasma phase of the
conformal field theory that serves as UV regulator. This is manifested in a
first-order phase transition that is driven by radiative corrections.
