Scaling laws at the extremal limit of dilaton black holes.

Physics

Scientific paper

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Black Holes: Thermodynamics

Scientific paper

The thermodynamics of an arbitrary dimensional charged dilaton black hole is investigated. The authors find that the extremal limit of the black hole is a critical point and the entropy of the black hole is a homogeneous function. Thus the scaling laws hold at the critical point and a phase transition is expected to appear from the extremal to nonextremal dilaton black holes. Some relevant critical exponents are given and they depend manifestly on the content of the theory.

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