Open AccessTHE NERNST THEOREM AND STATISTICAL ENTROPY OF THE SCALAR FIELD IN REISSNER-NORDSTROM GEOMETRY
Author(s) -
Ren Zhao,
Lichun Zhang
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.1015
Subject(s) - physics , entropy (arrow of time) , scalar field , mathematical physics , black brane , black hole (networking) , nernst equation , h theorem , black hole thermodynamics , classical mechanics , extremal black hole , joint quantum entropy , thermodynamics , quantum mechanics , maximum entropy thermodynamics , quantum , computer network , routing protocol , routing (electronic design automation) , electrode , computer science , link state routing protocol
Based on the Klein-Gordon equations on the background of the Reisser-Nordstrom spacetime, we calculate the free energy and entropy of a scalar field near a black hole by improved brick-wall methodmembrane model. It is obtained that the entropy of the scalar field consists of two parts. As the entropy is an extensive quantity, we obtain that the black hole entropy comes from two thermodynamical systems. And the new Bekenstein-Smarr formula is given. It is shown that the entropy expressed by two thermodynamical subsystems approaches zero when the radiation temperature of the black hole approaches absolute zero. This obeys Nernst theorem. It can be taken as Planck absolute entropy of a black hole.