Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
| Autor: | Zarepour, Soodeh |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Int. J. of Mod. Phys. D, Vol. 30, No. 15, 2150109 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0218271821501091 |
| Popis: | In this paper we study a new class of holographic heat engines via charged AdS black hole solutions of Einstein gravity coupled with logarithmic nonlinear $U(1)$ gauge theory. So, Logarithmic $U(1)$ AdS black holes with a horizon of positive, zero and negative constant curvatures are considered as a working substance of a holographic heat engine and the corrections to the usual Maxwell field are controlled by non-linearity parameter $\beta$. The efficiency of an ideal cycle ($\eta$), consisting of a sequence of isobaric $\to$ isochoric $\to$ isobaric $\to$ isochoric processes, is computed using the exact efficiency formula. It is shown that $\eta/\eta_{C}$, with $\eta_{C}$ the Carnot efficiency (the maximum efficiency available between two fixed temperatures), decreases as we move from the strong coupling regime ($\beta \to 0$) to the weak coupling domain ($\beta \to \infty$). We also obtain analytic relations for the efficiency in the weak and strong coupling regimes in both low and high temperature limits. The efficiency for planar and hyperbolic logarithmic $U(1)$ AdS black holes is computed and it is observed that efficiency versus $\beta$ behaves in the same qualitative manner as the spherical black holes. Comment: 23 pages, 20 figures, accepted version |
| Databáze: | arXiv |
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