Engines with ideal efficiency and nonzero power for sublinear transport laws

Abstract

It is known that an engine with ideal efficiency ($\eta =1$ for a chemical engine and $e=e_{\mathrm{Carnot}}$ for a thermal one) has zero power because a reversible cycle takes an infinite time. However, at least from a theoretical point of view, it is possible to conceive (irreversible) engines with nonzero power that can reach ideal efficiency. Here this is achieved by replacing the usual linear transport law by a sublinear one and taking the step-function limit for the particle current (chemical engine) or heat current (thermal engine) versus the applied force. It is shown that in taking this limit exact thermodynamic inequalities relating the currents to the entropy production are not violated.

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• Abstract models for heat engines
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• Optimal energy conversion through anti-adiabatic driving breaking time-reversal symmetry
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• Critical Heat Engines in Massive Gravity
• Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
• Efficiency and power of minimally nonlinear irreversible heat engines with broken time-reversal symmetry