Phase transitions in AdS soliton spacetime through marginally stable   modes
  We investigate the marginally stable modes of the scalar (vector) perturbations in the AdS soliton background coupled to electric field. In the probe limit, we find that the marginally stable modes can reveal the onset of the phase transitions of this model. The critical chemical potentials obtained from this approach are in good agreement with the previous numerical or analytical results. 
Rong-Gen Cai, Xi He, Huai-Fan Li, Hai-Qing Zhang
hep-th gr-qc