The thermodynamic efficiency of the Lorenz system

We study the thermodynamic efficiency of Malkus-Lorenz waterwheel. For this purpose, we derive an exact analytical formula that describes dissipative structure as a function phase space variables and constant parameters dynamical system. show that, generally, machine is progressively driven far from equilibrium by increasing its uptake matter environment, it also tends to increase efficiency. However, sudden drops in are found at critical bifurcation points leading chaotic dynamics. relate these discontinuous crises reduction attractor's average value projected along dimensions contribute rate entropy generation In manner, provide criterion presumably, governs evolution far-from-equilibrium systems towards their self-assembly synchronization into increasingly complex networks structures.