Eur. Phys. J. B (2016) 89: 248
https://doi.org/10.1140/epjb/e2016-70297-9

Regular Article

Engines with ideal efficiency and nonzero power for sublinear transport laws

KU Leuven, Instituut voor Theoretische Fysica – Celestijnenlaan 200D, 3001 Leuven, Belgium

^a e-mail: jesper.koning@fys.kuleuven.be

Received: 13 May 2016
Received in final form: 3 August 2016
Published online: 14 November 2016

Abstract

It is known that an engine with ideal efficiency (η = 1 for a chemical engine and e = e_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.