Extracting chemical energy by growing disorder: efficiency at maximum power
We consider the efficiency of chemical energy extraction from the environment by the growth of a copolymer made of two constituent units in the entropy-driven regime. We show that the thermodynamic nonlinearity associated with the information processing aspect is responsible for a branching of the system properties such as power, speed of growth, entropy production, and efficiency, with varying affinity. The standard linear thermodynamics argument which predicts an efficiency of 1/2 at maximum power is inappropriate because the regime of maximum power is located either outside of the linear regime or on a separate bifurcated branch, and because the usual thermodynamic force is not the natural variable for this optimization. ; ME is supported by the FNRS Belgium (Charge de Recherches) and by the Government of Luxembourg (Bourse de Formation Recherches). KL and CVdB gratefully acknowledge the support of the US National Science Foundation through Grant No PHY-0855471.