Efficiency of Autonomous Soft Nanomachines at Maximum Power

We consider nanosized artificial or biological machines working in steady state enforced by imposing nonequilibrium concentrations of solutes or by applying external forces, torques, or electric fields. For unicyclic and strongly coupled multicyclic machines, efficiency at maximum power is not bounded by the linear response value 1/2. For strong driving, it can even approach the thermodynamic limit 1. Quite generally, such machines fall into three different classes characterized, respectively, as strong and efficient, strong and inefficient, and balanced. For weakly coupled multicyclic machines, efficiency at maximum power has lost any universality even in the linear response regime.