Holographic heat engines coupled with logarithmic U(1) gauge theory
Abstract
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 nonlinearity parameter β. The efficiency of an ideal cycle (η), consisting of a sequence of isobaric → isochoric → isobaric → isochoric processes, is computed using the exact efficiency formula. It is shown that η/ηC, with ηC the Carnot efficiency (the maximum efficiency available between two fixed temperatures), decreases as we move from the strong coupling regime (β→0) to the weak coupling domain (β→∞). 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 β behaves in the same qualitative manner as the spherical black holes.
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