Abstract： The thermodynamics of a static dilaton black hole is investigated by Euclidean path integral. Four interesting results are obtained: (I) Although the temperature, heat capacity and chemical potential have different forms as compared to general classical static charged black hole, the Bardeen-Carter-Hawking thermodynamical laws are valid for the black hole. (II) The entropy and area of the event horizon are zero but the energy, temperature and surface gravity are non-zero for extremal case ( rh = 2M = b). (III) The charged black hole does not possess second order phase transitions as the Reissner-Nordström black hole since its heat capacity is negative. (IV) The action is equal to the entropy, and both quantities coincide with one quarter of area of the event horizon.
JING Ji-liang. Thermodynamics of a Static Dilaton Black Hole[J]. 中国物理快报, 1997, 14(2): 81-84.
JING Ji-liang. Thermodynamics of a Static Dilaton Black Hole. Chin. Phys. Lett., 1997, 14(2): 81-84.
1997, Vol. 14 
