Critical Phenomena in Higher Curvature Charged AdS Black Holes

In this paper, we have studied the critical phenomena in higher curvature charged AdS black holes. We have considered Lovelock-Born-Infeld-AdS black hole as an example. The thermodynamics of the black hole have been studied which reveals the onset of a higher-order phase transition in the black hole...

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Main Author: Arindam Lala
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/918490
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author Arindam Lala
author_facet Arindam Lala
author_sort Arindam Lala
collection DOAJ
description In this paper, we have studied the critical phenomena in higher curvature charged AdS black holes. We have considered Lovelock-Born-Infeld-AdS black hole as an example. The thermodynamics of the black hole have been studied which reveals the onset of a higher-order phase transition in the black hole in the canonical ensemble (fixed charge ensemble) framework. We have analytically derived the critical exponents associated with these thermodynamic quantities. We find that our results fit well with the thermodynamic scaling laws and consistent with the mean field theory approximation. The suggestive values of the other two critical exponents associated with the correlation function and correlation length on the critical surface have been derived.
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spelling doaj-art-0ebcaa0e14814718a2003a98e7fa13282025-02-03T05:44:48ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/918490918490Critical Phenomena in Higher Curvature Charged AdS Black HolesArindam Lala0S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098, IndiaIn this paper, we have studied the critical phenomena in higher curvature charged AdS black holes. We have considered Lovelock-Born-Infeld-AdS black hole as an example. The thermodynamics of the black hole have been studied which reveals the onset of a higher-order phase transition in the black hole in the canonical ensemble (fixed charge ensemble) framework. We have analytically derived the critical exponents associated with these thermodynamic quantities. We find that our results fit well with the thermodynamic scaling laws and consistent with the mean field theory approximation. The suggestive values of the other two critical exponents associated with the correlation function and correlation length on the critical surface have been derived.http://dx.doi.org/10.1155/2013/918490
spellingShingle Arindam Lala
Critical Phenomena in Higher Curvature Charged AdS Black Holes
Advances in High Energy Physics
title Critical Phenomena in Higher Curvature Charged AdS Black Holes
title_full Critical Phenomena in Higher Curvature Charged AdS Black Holes
title_fullStr Critical Phenomena in Higher Curvature Charged AdS Black Holes
title_full_unstemmed Critical Phenomena in Higher Curvature Charged AdS Black Holes
title_short Critical Phenomena in Higher Curvature Charged AdS Black Holes
title_sort critical phenomena in higher curvature charged ads black holes
url http://dx.doi.org/10.1155/2013/918490
work_keys_str_mv AT arindamlala criticalphenomenainhighercurvaturechargedadsblackholes