Holographic considerations on non-gaussian statistics and gravothermal catastrophe
In this paper we have derived the equipartition law of energy using Tsallis formalism and the Kaniadakis power law statistics in order to obtain a modified gravitational constant. We have applied this result in the gravothermal collapse phenomenon. We have discussed the equivalence between Tsallis a...
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| creator | Abreu, Everton M. C Neto, Jorge Ananias BarbozaJr, Edesio M Nunes, Rafael da C |
| description | In this paper we have derived the equipartition law of energy using Tsallis
formalism and the Kaniadakis power law statistics in order to obtain a modified
gravitational constant. We have applied this result in the gravothermal
collapse phenomenon. We have discussed the equivalence between Tsallis and the
Kaniadakis statistics in the context of Verlinde entropic formalism. In the
same way we have analyzed negative heat capacities in the light of gravothermal
catastrophe. The relative deviations of the modified gravitational constants
are derived. |
| doi_str_mv | 10.48550/arxiv.1503.05874 |
| format | Article |
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formalism and the Kaniadakis power law statistics in order to obtain a modified
gravitational constant. We have applied this result in the gravothermal
collapse phenomenon. We have discussed the equivalence between Tsallis and the
Kaniadakis statistics in the context of Verlinde entropic formalism. In the
same way we have analyzed negative heat capacities in the light of gravothermal
catastrophe. The relative deviations of the modified gravitational constants
are derived.</description><identifier>DOI: 10.48550/arxiv.1503.05874</identifier><language>eng</language><subject>Physics - General Physics</subject><creationdate>2014-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1503.05874$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1503.05874$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Abreu, Everton M. C</creatorcontrib><creatorcontrib>Neto, Jorge Ananias</creatorcontrib><creatorcontrib>BarbozaJr, Edesio M</creatorcontrib><creatorcontrib>Nunes, Rafael da C</creatorcontrib><title>Holographic considerations on non-gaussian statistics and gravothermal catastrophe</title><description>In this paper we have derived the equipartition law of energy using Tsallis
formalism and the Kaniadakis power law statistics in order to obtain a modified
gravitational constant. We have applied this result in the gravothermal
collapse phenomenon. We have discussed the equivalence between Tsallis and the
Kaniadakis statistics in the context of Verlinde entropic formalism. In the
same way we have analyzed negative heat capacities in the light of gravothermal
catastrophe. The relative deviations of the modified gravitational constants
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formalism and the Kaniadakis power law statistics in order to obtain a modified
gravitational constant. We have applied this result in the gravothermal
collapse phenomenon. We have discussed the equivalence between Tsallis and the
Kaniadakis statistics in the context of Verlinde entropic formalism. In the
same way we have analyzed negative heat capacities in the light of gravothermal
catastrophe. The relative deviations of the modified gravitational constants
are derived.</abstract><doi>10.48550/arxiv.1503.05874</doi><oa>free_for_read</oa></addata></record> |
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| title | Holographic considerations on non-gaussian statistics and gravothermal catastrophe |
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