More Stages Decrease Dissipation in Irreversible Step Processes

Entropy (Basel). 2023 Mar 21;25(3):539. doi: 10.3390/e25030539.

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.

Keywords: minimizing dissipation; relaxation; sequential processes; step processes; thermodynamic length.

Grants and funding

T.N.F.R. gratefully acknowledges the Gordon and Betty Moore Foundation for support under grant number 9871.