On the equivalence and optimality of transformations of diffusive systems

Davide Gabrielli; Giovanni Jona-Lasinio

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arXiv · 2509.14450

On the equivalence and optimality of transformations of diffusive systems

Davide Gabrielli·Giovanni Jona-Lasinio

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Abstract

In this paper we introduce, inspired by Clausius and developing the ideas of \cite{pre}, the concept of equivalence of transformations in non equilibrium theory of diffusive systems within the framework of macroscopic fluctuation theory. Besides providing a new proof of a formula derived in \cite{mft,qc}, which is the basis of the equivalence, we show that equivalent quasistatic transformations can be distinguished in finite terms, by the renormalized work introduced in \cite{45,46,mft,qc}. This allows us to tackle the problem of determining the optimal quasistatic transformation among the equivalent ones.

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Davide Gabrielli, Giovanni Jona-Lasinio. 2025-09-17. On the equivalence and optimality of transformations of diffusive systems. https://arxiv.org/abs/2509.14450

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