Thermodynamic classifications and dilatonic black holes
Thermodynamic classifications and dilatonic black holes
We analyze the thermodynamics of systems which have entropy functions of the type S(m) = am? + b, where m is an extensive variable and a, b, and ? are constants. Such functions apply to dilatonic black holes whose mass is m. This analysis continues our earlier treatment of the general classification of the thermodynamics of systems by whether they exhibit entropy functions which may or may not be either superadditive, homogeneous or concave in the extensive variables on which the entropy depends. This leads to a classification into 8 types of thermodynamics (with several subtypes). We show that only five of these are available for systems having the entropy given above, and these are in fact realized if the constants are given appropriate values.
black hole thermodynamics, types of thermodynamics, functional properties of entropy
1269-1281
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3
Mann, R.B.
77a03ab4-d96c-4627-93ea-bdfdcf3a4414
1997
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3
Mann, R.B.
77a03ab4-d96c-4627-93ea-bdfdcf3a4414
Landsberg, P.T. and Mann, R.B.
(1997)
Thermodynamic classifications and dilatonic black holes.
General Relativity and Gravitation, 29 (10), .
(doi:10.1023/A:1018863813790).
Abstract
We analyze the thermodynamics of systems which have entropy functions of the type S(m) = am? + b, where m is an extensive variable and a, b, and ? are constants. Such functions apply to dilatonic black holes whose mass is m. This analysis continues our earlier treatment of the general classification of the thermodynamics of systems by whether they exhibit entropy functions which may or may not be either superadditive, homogeneous or concave in the extensive variables on which the entropy depends. This leads to a classification into 8 types of thermodynamics (with several subtypes). We show that only five of these are available for systems having the entropy given above, and these are in fact realized if the constants are given appropriate values.
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Published date: 1997
Keywords:
black hole thermodynamics, types of thermodynamics, functional properties of entropy
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Local EPrints ID: 29164
URI: http://eprints.soton.ac.uk/id/eprint/29164
ISSN: 0001-7701
PURE UUID: 8741b20d-cb09-4915-9738-cd93d95a5968
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Date deposited: 10 Jan 2007
Last modified: 15 Mar 2024 07:29
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Author:
P.T. Landsberg
Author:
R.B. Mann
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