Abstract
We note that, in extended phase space the cosmological constant is a thermodynamic variable. In this paper, this cosmological constant lead us to consider a black hole as a heat engine. So, here we take advantage from holographic heat engine and study two kind of different black holes. We first investigate a static black hole (Dyonic BH) and consider the necessary condition to have high efficiency. Also we continue our investigation for dynamic black hole (rotating charged black hole) and study the effect of rotating parameter on the thermodynamic efficiency of holographic heat engine. We show that the rotating parameter has a more effective role than electric charge in thermodynamic efficiency.
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Hawking, S.W.: Nature (London) 248, 30 (1974)
Nielsen, A.B.: Gen. Rel. Grav. 41, 1539 (2009)
Christodoulou, D.: Phys. Rev. Lett. 25, 1596 (1971)
Bekenstein, J.D.: Phys. Rev. D 7, 949 (1973)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Hawking, S.: Commun. Math. Phys. 43, 199 (1975)
Bekenstein, J.D.: Phys. Rev. D 9, 3292 (1974)
Hawking, S.: Phys. Rev. D 13, 191 (1976)
Caldarelli, M.M., Cognola, G., Klemm, D.: Class. Quant. Grav. 17, 399 (2000)
Wang, S., Wu, S.Q., Xie, F., Dan, L.: Chin. Phys. Lett. 23, 1096 (2006)
Sekiwa, Y.: Phys. Rev. D 73, 084009 (2006)
Larranaga Rubio, E.A.: Stringy Generalization of the First Law of Thermodynamics for Rotating BTZ Black Hole with a Cosmological Constant as State Parameter, arXiv:0711.0012 [gr-qc]
Kastor, D., Ray, S., Traschen, J.: Class. Quant. Grav. 26, 195011 (2009)
Dolan, B.P.: Class. Quant. Grav. 28, 125020 (2011)
Cvetic, M., Gibbons, G., Kubiznak, D., Pope, C.: Phys. Rev. D 84, 024037 (2011)
Dolan, B.P.: Phys. Rev. D 84, 127503 (2011)
Dolan, B.P.: Class. Quant. Grav. 28, 235017 (2011)
Henneaux, M., Teitelboim, C.: Phys. Lett. B 143, 415 (1984)
Teitelboim, C.: Phys. Lett. B 158, 293 (1985)
Henneaux, M., Teitelboim, C.: Phys. Lett. B 222, 195 (1989)
Lu, H., Pang, Y., Pope, C.N., Vazquez-Poritz, J.F.: Phys. Rev. D 86, 044011 (2012)
Sadeghi, J., Jafarzade, K., Pourhassan, B.: Thermodynamical quantities of horava-lifshitz black hole. Int. J. Theor. Phys. 51, 3891 (2012)
Hawking, S., Page, D.N.: Commun. Math. Phys. 87, 577 (1983)
Cvetic, M., Gubser, S.S.: JHEP 9904, 024 (1999)
Cvetic, M., Gubser, S.: JHEP 9907, 010 (1999)
Chamblin, A., Emparan, R., Johnson, C., Myers, R.: Phys. Rev. D 60, 064018 (1999)
Chamblin, A., Emparan, R., Johnson, C., Myers, R.: Phys. Rev. D 60, 104026 (1999)
Kubiznak, D., Mann, R.B.: JHEP 1207, 033 (2012)
Dutta, S., Jain, A., Soni, R.: JHEP 12, 060 (2013)
Sadeghi, J., Pourhassan, B., Rostami, M.: P-V criticality of logarithm-corrected dyonic charged AdS black holes. Phys. Rev. D 94, 064006 (2016)
Pourhassan, B., Faizal, M.: Thermodynamics of a sufficient small singly spinning kerr-AdS black hole. Nucl. Phys. B 913, 834 (2016)
Pourhassan, B., Faizal, M., Debnath, U.: Effects of thermal fluctuations on the thermodynamics of modified hayward black hole. Eur. Phys. J. C 76, 145 (2016)
Pourhassan, B., Faizal, M.: Thermal fluctuations in a charged AdS black hole. EPL 111, 40006 (2015)
Sadeghi, J., Pourhassan, B., Rahimi, F.: Logarithmic corrections to charged hairy black hole in (2+1) dimensions. Can. J. Phys. 92, 1638 (2014)
Johnson, C.V.: Class. Quant. Grav. 31, 205002 (2014)
Lu, H., Pang, Y., Pope, C.N.: JHEP 1311, 033 (2013)
Upadhyay, S., Pourhassan, B., Farahani, H.: P-V criticality of first-order entropy corrected AdS black holes in massive gravity. Phys. Rev. D 95, 106014 (2017)
Gunasekaran, S., Kubiznak, D., Mann, R.B.: JHEP 11, 110 (2012)
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Jafarzade, K., Sadeghi, J. The Thermodynamic Efficiency in Static and Dynamic Black Holes. Int J Theor Phys 56, 3387–3399 (2017). https://doi.org/10.1007/s10773-017-3501-9
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DOI: https://doi.org/10.1007/s10773-017-3501-9