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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/474

Title: A unified picture of phase transition: from liquid-vapour systems to AdS black holes
Authors: Banerjee, Rabin
Modak, Sujoy Kumar
Roychowdhury, Dibakar
Keywords: Black Holes
Classical Theories of Gravity
Issue Date: 2012
Publisher: JHEP
Citation: Rabin Banerjee, Sujoy Kumar Modak and Dibakar Roychowdhury, A unified picture of phase transition: from liquid-vapour systems to AdS black holes, JHEP, 2012, 1210, 125.
Abstract: Based on fundamental concepts of thermodynamics we examine phase transitions in black holes defined in Anti-de Sitter (AdS) spaces. The method is in line with that used a long ago to understand the liquid-vapour phase transition where the first order derivatives of Gibbs potential are discontinuous and Clausius-Clapeyron equation is satisfied. The idea here is to consider the AdS black holes as grand-canonical ensembles and study phase transition defined by the discontinuity of second order derivatives of Gibbs potential. We analytically check that this phase transition between the ‘smaller’ and ‘larger’ mass black holes obey Ehrenfest relations defined at the critical point and hence confirm a second order phase transition. This include both the rotating and charged black holes in Einstein gravity.
URI: http://hdl.handle.net/123456789/474
Appears in Collections:2012

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