  Considering a canonical ensemble, in which the temperature and the charge on
a wall of the cavity are fixed, we investigate the thermodynamics of a
D-dimensional Gauss-Bonnet black hole in a finite spherical cavity. Moreover,
it shows that the first law of thermodynamics is still satisfied. We then
discuss the phase structure and transition in both five and six dimensions.
Specifically, we show that there always exist two regions in the parameter
space. In one region, the system possesses one single phase. However in the
other region, there could coexist three phases and a van der Waals-like phase
transition occurs. Finally, we find that there is a fairly close resemblance in
thermodynamic properties and phase structure of a Gauss-Bonnet-Maxwell black
hole, either in a cavity or in anti-de Sitter space.
