Critical Phenomena in Higher Curvature Charged AdS Black Holes | Zendy

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Critical Phenomena in Higher Curvature Charged AdS Black Holes

Author(s) -

Arindam Lala

Publication year - 2013

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2013/918490

Subject(s) - physics , curvature , critical exponent , critical phenomena , canonical ensemble , black hole (networking) , scaling , phase transition , charged black hole , grand canonical ensemble , charge (physics) , microcanonical ensemble , ads black hole , statistical physics , extremal black hole , mathematical physics , thermodynamics , quantum mechanics , entropy (arrow of time) , geometry , monte carlo method , mathematics , routing (electronic design automation) , computer science , computer network , routing protocol , statistics , link state routing protocol

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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