Complementary expressions for the entropy-from-work theorem

TL;DR

This paper presents a new formulation of the entropy-from-work theorem that fixes the initial energy instead of the final energy, complementing the original theorem.

Contribution

It introduces a complementary expression of the entropy-from-work theorem, expanding the theoretical framework for quantum thermodynamics.

Findings

Provides a new mathematical expression for the entropy-from-work theorem

Complements the original theorem by fixing initial energy instead of final energy

Enhances understanding of energy constraints in quantum thermodynamic processes

Abstract

We establish an expression of the entropy-from-work theorem that is complementary to the one originally proposed in [P. Talkner, P. Hanggi and M. Morillo, arXiv:0707.2307]. In the original expression the final energy is fixed whereas in the present expression the initial energy is fixed.