A simple model of a glass forming fluid, consisting of a bidisperse mixture
of penetrable spheres, is studied numerically by Monte Carlo simulation. T
he model shows a transition from fragile to strong behaviour as the tempera
ture is reduced. This transition is driven by the competition between the t
wo mechanisms that contribute to diffusivity in the model: collective rearr
angement of particles (responsible for the fragile behaviour), and individu
al particle motion (which gives rise to the strong behaviour at low tempera
tures). Also observed is a maximum of diffusivity as a function of pressure
that can be interpreted within the same framework. The connection between
this behaviour and polyamorphism is addressed.