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SUMMARY:Non-equilibrium Condensation Process in a Holographic Superconduct
 or - Keiju Murata\, DAMTP
DTSTART:20100507T120000Z
DTEND:20100507T130000Z
UID:TALK24133@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:We study the non-equilibrium condensation process in the holog
 raphic superconductor. When the temperature T is smaller than a critical t
 emperature T_c\, there are two black hole solutions\, the Reissner-Nordstr
 om-AdS black hole and a black hole with a scalar hair. In the boundary the
 ory\, they can be regarded as the　supercooled normal phase and the super
 conducting phase\, respectively. We consider perturbations on supercooled 
 Reissner-Nordstrom-AdS black holes and study their non-linear time evoluti
 on to know about physical phenomena associated with rapidly-cooled superco
 nductors. We find that\, for T < T_c\, the initial perturbations grow expo
 nentially and\, eventually\, spacetimes approach the hairy black holes. We
  also clarify how the relaxation process from a far-from-equilibrium state
  proceeds in the boundary theory by observing the time dependence of the s
 uperconducting order parameter. Finally\, we study the time evolution of e
 vent and apparent horizons and discuss their correspondence with the entro
 py of the boundary theory. Our result gives a first step toward the hologr
 aphic understanding of the non-equilibrium process in superconductors.
LOCATION:Pavilion B Potter Room (B1.19)
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