On the equivalence and optimality of transformations of diffusive systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908545246560256 |
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| author | Gabrielli, Davide Jona-Lasinio, Giovanni |
| author_facet | Gabrielli, Davide Jona-Lasinio, Giovanni |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the equivalence and optimality of transformations of diffusive systems Gabrielli, Davide Jona-Lasinio, Giovanni Statistical Mechanics 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. |
| title | On the equivalence and optimality of transformations of diffusive systems |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2509.14450 |