Reversible-process black hole thermodynamics
Bekenstein, Hawking, Gibbons and Perry have discussed the case of placing a Schwarzschild black hole inside an ideal, reflecting box, thereby setting up an equilibrium state. In this paper, we discuss more generally the thennodynamical properties of such a system. Starting from adiabatic expansion o...
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| Veröffentlicht in: | Chinese astronomy and astrophysics 1984-03, Vol.8 (1), p.14-20 |
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| creator | Chen, L-F Zhou, M-Y |
| description | Bekenstein, Hawking, Gibbons and Perry have discussed the case of placing a Schwarzschild black hole inside an ideal, reflecting box, thereby setting up an equilibrium state. In this paper, we discuss more generally the thennodynamical properties of such a system. Starting from adiabatic expansion of the system, we are naturally led to the definition of total entropy and of black hole entropy. We next point out the two conditions for stable equilibrium between the black hole and the radiation,
V <
V
E
and
E
r
<
M/4 are not equivalent: only the former is necessary
and sufficient. Lastly, we examine three quasi-static processes of evaporation of the black hole, expansion at constant energy, energy release at constant volume and adiabatic expansion. |
| doi_str_mv | 10.1016/0275-1062(84)90004-3 |
| format | Article |
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V <
V
E
and
E
r
<
M/4 are not equivalent: only the former is necessary
and sufficient. Lastly, we examine three quasi-static processes of evaporation of the black hole, expansion at constant energy, energy release at constant volume and adiabatic expansion.</description><identifier>ISSN: 0275-1062</identifier><identifier>EISSN: 1879-128X</identifier><identifier>DOI: 10.1016/0275-1062(84)90004-3</identifier><language>eng</language><publisher>Seoul: Elsevier B.V</publisher><subject>Astronomy ; Earth, ocean, space ; Exact sciences and technology ; Fundamental aspects of astrophysics ; Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations ; Relativity and gravitation</subject><ispartof>Chinese astronomy and astrophysics, 1984-03, Vol.8 (1), p.14-20</ispartof><rights>1984</rights><rights>1985 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c230t-6a5847dd6ba79a3e97d8b32ec12adb34518c911c3e1af0f79f5f7f820e03c6ed3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/0275106284900043$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8864558$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Chen, L-F</creatorcontrib><creatorcontrib>Zhou, M-Y</creatorcontrib><title>Reversible-process black hole thermodynamics</title><title>Chinese astronomy and astrophysics</title><description>Bekenstein, Hawking, Gibbons and Perry have discussed the case of placing a Schwarzschild black hole inside an ideal, reflecting box, thereby setting up an equilibrium state. In this paper, we discuss more generally the thennodynamical properties of such a system. Starting from adiabatic expansion of the system, we are naturally led to the definition of total entropy and of black hole entropy. We next point out the two conditions for stable equilibrium between the black hole and the radiation,
V <
V
E
and
E
r
<
M/4 are not equivalent: only the former is necessary
and sufficient. Lastly, we examine three quasi-static processes of evaporation of the black hole, expansion at constant energy, energy release at constant volume and adiabatic expansion.</description><subject>Astronomy</subject><subject>Earth, ocean, space</subject><subject>Exact sciences and technology</subject><subject>Fundamental aspects of astrophysics</subject><subject>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</subject><subject>Relativity and gravitation</subject><issn>0275-1062</issn><issn>1879-128X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWKv_wEUXIgqO5jVJZiNI8QUFQRTchUxyQ6OZGU2mhf57p7Z06epuvnPOPQehU4KvCSbiBlNZFgQLeqH4ZYUx5gXbQyOiZFUQqj720WiHHKKjnD8HRoqSjdDVKywh5VBHKL5TZyHnSR2N_ZrMuwiTfg6p6dyqNU2w-RgdeBMznGzvGL0_3L9Nn4rZy-Pz9G5WWMpwXwhTKi6dE7WRlWFQSadqRsESalzNeEmUrQixDIjx2MvKl156RTFgZgU4NkbnG9_ho58F5F43IVuI0bTQLbKmnCmpiBhAvgFt6nJO4PV3Co1JK02wXk-j1731urdWXP9No9kgO9v6m2xN9Mm0NuSdVinBy1IN2O0Gg6HrMkDS2QZoLbiQwPbadeH_nF9-9Hcj</recordid><startdate>19840301</startdate><enddate>19840301</enddate><creator>Chen, L-F</creator><creator>Zhou, M-Y</creator><general>Elsevier B.V</general><general>Pergamon Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19840301</creationdate><title>Reversible-process black hole thermodynamics</title><author>Chen, L-F ; Zhou, M-Y</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c230t-6a5847dd6ba79a3e97d8b32ec12adb34518c911c3e1af0f79f5f7f820e03c6ed3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1984</creationdate><topic>Astronomy</topic><topic>Earth, ocean, space</topic><topic>Exact sciences and technology</topic><topic>Fundamental aspects of astrophysics</topic><topic>Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations</topic><topic>Relativity and gravitation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, L-F</creatorcontrib><creatorcontrib>Zhou, M-Y</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Chinese astronomy and astrophysics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, L-F</au><au>Zhou, M-Y</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reversible-process black hole thermodynamics</atitle><jtitle>Chinese astronomy and astrophysics</jtitle><date>1984-03-01</date><risdate>1984</risdate><volume>8</volume><issue>1</issue><spage>14</spage><epage>20</epage><pages>14-20</pages><issn>0275-1062</issn><eissn>1879-128X</eissn><abstract>Bekenstein, Hawking, Gibbons and Perry have discussed the case of placing a Schwarzschild black hole inside an ideal, reflecting box, thereby setting up an equilibrium state. In this paper, we discuss more generally the thennodynamical properties of such a system. Starting from adiabatic expansion of the system, we are naturally led to the definition of total entropy and of black hole entropy. We next point out the two conditions for stable equilibrium between the black hole and the radiation,
V <
V
E
and
E
r
<
M/4 are not equivalent: only the former is necessary
and sufficient. Lastly, we examine three quasi-static processes of evaporation of the black hole, expansion at constant energy, energy release at constant volume and adiabatic expansion.</abstract><cop>Seoul</cop><cop>Oxford</cop><cop>New York, NY</cop><pub>Elsevier B.V</pub><doi>10.1016/0275-1062(84)90004-3</doi><tpages>7</tpages></addata></record> |
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| ispartof | Chinese astronomy and astrophysics, 1984-03, Vol.8 (1), p.14-20 |
| issn | 0275-1062 1879-128X |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Astronomy Earth, ocean, space Exact sciences and technology Fundamental aspects of astrophysics Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations Relativity and gravitation |
| title | Reversible-process black hole thermodynamics |
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