Non-quasistatic response coefficients and dissipated availability for macroscopic thermodynamic systems

TL;DR

This paper develops a formula linking non-quasistatic response coefficients with Onsager's kinetic coefficients to better understand and quantify irreversibility and dissipation in finite-time thermodynamic processes, demonstrated via an ideal gas model.

Contribution

It introduces a new formula connecting response coefficients with Onsager's coefficients, advancing the understanding of non-quasistatic thermodynamic responses and dissipation.

Findings

Derived a simple formula for non-quasistatic response coefficients

Formulated thermodynamic length and dissipated availability in terms of response coefficients

Demonstrated results using an ideal gas model

Abstract

The characterization of finite-time thermodynamic processes is of crucial importance for extending equilibrium thermodynamics to nonequilibrium thermodynamics. The central issue is to quantify responses of thermodynamic variables and irreversible dissipation associated with non-quasistatic changes of thermodynamic forces applied to the system. In this study, we derive a simple formula that incorporates the non-quasistatic response coefficients with Onsager's kinetic coefficients, where the Onsager coefficients characterize the relaxation dynamics of fluctuation of extensive thermodynamic variables of semi-macroscopic systems. Moreover, the thermodynamic length and the dissipated availability that quantifies the efficiency of irreversible thermodynamic processes are formulated in terms of the derived non-quasistatic response coefficients. The present results are demonstrated by using an ideal gas model. The present results are, in principle, verifiable through experiments and are thus expected to provide a guiding principle for the nonequilibrium control of macroscopic thermodynamic systems.