Logarithmic-corrected van der Waals black holes in higher-dimensional AdS space

Abstract

We consider the anti-de Sitter black hole in d-dimensional space-time and calculate the logarithmic-corrected thermodynamics quantities. We study the effects of thermal fluctuations on the thermodynamics of higher-dimensional AdS black holes. We exploit such logarithmic-corrected quantities to construct van der Waals black hole solutions and study the effects of logarithmic correction on the van der Waals black holes. We also investigate the effect of thermal fluctuations on the equation of state. We find that the van der Waals black hole is completely stable in the presence of the logarithmic correction.