Charged torus-like black holes as heat engines

Abstract

We investigate the thermodynamical properties of charged torus-like black holes and take it as the working substance to study the heat engines. In the extended phase space, by interpreting the cosmological constant as the thermodynamic pressure, we derive the thermodynamical quantities by the first law of black hole thermodynamics and obtain the equation of state. Then, we calculate the efficiency of the heat engine in the Carnot cycle as well as the rectangular cycle, and investigate how the efficiency changes with respect to volume. In addition, to avoid a negative temperature, we emphasize that the charge of this black hole cannot be arbitrary. Last, we check the calculation accuracy of a benchmark scheme and discuss the upper bound and lower bound for charged torus-like black hole in the scheme.

Boosting thermodynamic performance by bending space-time

“…Note that the cosmological constant is not a "constant" in the strict sense, but rather represents the energy density of the considered space [16]. Hence, this black hole pressure can be considered a thermodynamic variable, that can be varied in black hole heat engines [17,[28][29][30][31][32][33][34][35][36][37] and so-called holographic engines [15,[38][39][40][41][42][43][44][45][46][47][48][49][50].…”

Quantum thermodynamic devices: from theoretical proposals to experimental reality

“…A maybe less practically motivated, yet still rather active field of research is black hole heat engines [414][415][416][417][418][419][420][421][422][423][424] and so-called holographic engines [425][426][427][428][429][430][431][432][433][434][435][436][437][438] .…”

Thermal Fluctuations of Torus-like Charge AdS Black Hole

“…[48] Huang and Liang are the pioneers of constructing the torus like the BH solution. The thermodynamical aspect of a torus like BH was evaluated in [49]- [51]. Furthermore, Lemos and Zanchin [52] found another solution of a torus-like BH by figuring out the Einstein-Maxwell field equation with AdS space-time, and such solution is said to be black string.…”