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• W2218310273 abstract "The effects of conformal anomaly on the thermodynamics of black holes are investigated in this paper from the perspective of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>P</mml:mi><mml:mtext>-</mml:mtext><mml:mi>V</mml:mi></mml:math>criticality of AdS black holes. Treating the cosmological constant as thermodynamic pressure, we extend the recent research to the extended phase space. Firstly, we study the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>V</mml:mi></mml:mrow></mml:math>criticality of the uncharged AdS black holes with conformal anomaly and find that conformal anomaly does not influence whether there exists Van der Waals like critical behavior. Secondly, we investigate the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:mi>V</mml:mi></mml:mrow></mml:math>criticality of the charged cases and find that conformal anomaly influences not only the critical physical quantities but also the ratio<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math>. The ratio is no longer a constant as before but a function of conformal anomaly parameter<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M8><mml:mrow><mml:mover accent=true><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mo>~</mml:mo></mml:mover></mml:mrow></mml:math>. We also show that the conformal parameter should satisfy a certain range to guarantee the existence of critical point that has physical meaning. Our results show the effects of conformal anomaly." @default.
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• W2218310273 date "2015-01-01" @default.
• W2218310273 modified "2023-10-14" @default.
• W2218310273 title "P-VCriticality of Conformal Anomaly Corrected AdS Black Holes" @default.
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• W2218310273 doi "https://doi.org/10.1155/2015/206963" @default.
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