Key points are not available for this paper at this time.
We study thermodynamic instability of a class of (n+1) -dimensional charged dilatonic spherically symmetric black holes in the background of the anti--de Sitter universe. We calculate the quasilocal mass of the anti--de Sitter dilaton black hole through the use of the subtraction method of Brown and York. We find a Smarr-type formula and perform a stability analysis in the canonical ensemble and disclose the effect of the dilaton field on the thermal stability of the solutions. Our study shows that the solutions are thermally stable for small, while for large the system has an unstable phase, where is a coupling constant between the dilaton and matter field.
Sheykhi et al. (Tue,) studied this question.