Authors: Cheng Hu XiaoXiong Zeng XianMing Liu
Publish Date: 2013/05/21
Volume: 56, Issue: 9, Pages: 1652-1663
Abstract
Thermodynamics of phase transition for a black hole in 5D EinsteinGaussBonnet gravity with a negative cosmological constant is studied As the BekensteinHawking entropy is adopted we find the heat capacity volume expansion coefficient and isothermal compressibility are divergent at the critical points which implies the existence of phase transitions The fact that the phase transitions are indeed second order is revealed by studying the Ehrenfest’s equations and the PrigogineDefay ratio Furthermore near the critical points we also explicitly calculate the critical exponents of the relevant thermodynamic quantities at fixed charge or fixed temperature It is shown that the corresponding critical exponents satisfy the thermodynamic scaling law The Generalized Homogeneous Function hypothesis is also checked by studying the Helmholtz free energy which is shown to be consistent with the thermodynamic scaling law
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