More Stages Decrease Dissipation in Irreversible Step Processes

Abstract

The dissipation in an irreversible step process is reduced when the number of steps is increased in any refinement of the steps in the process. This is a consequence of the ladder theorem, which states that, for any irreversible process proceeding by a sequence of relaxations, dividing any relaxation step into two will result in a new sequence that is more efficient than the original one. This results in a more-steps-the-better rule, even when the new sequence of steps is not reoptimized. This superiority of many steps is well established empirically in, e.g., insulation and separation applications. In particular, the fact that the division of any step into two steps improves the overall efficiency has interesting implications for biological evolution and emphasizes thermodynamic length as a central measure for dissipation.

On the Analogy of Processes in Thermodynamic and Microeconomic Systems

“…Each subsystem is given its own bysubstance and by-energy balance equations. Streams appear at the borders of the subsystem interaction, and the irreversibility increases [10][11][12][13][14][15]. In thermodynamics, this means that the entropy in the whole system increases; in economics, the welfare function of each of the contacting subsystems increases instead [16][17][18][19][20][21].…”