1997/02/22 by Rong-Gen Cai, Rong-Gen Cal, Y. S. Myung +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Critical exponent #Critical phenomena #Critical point (mathematics) #Dilaton #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Phase transition #Scaling #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00186-7
published as Nucl.Phys. B495 (1997) 339-362 · 33 pages, RevTex, no figures
arxiv created 1997/02/22 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the critical behavior in the black p-branes and four dimensional charged dilaton black holes. We calculate the thermodynamic fluctuations in the various (microcanonical, canonical, and grandcanonical) ensembles. It is found that the extremal limit of some black configurations has a critical point and a phase transition takes place from the extremal to nonextremal black configurations. Some critical exponents are obtained, which satisfy the scaling laws. This is related to the fact that the entropy of these black configurations is a homogeneous function.