<p>In this paper we introduce, inspired by Clausius and developing the ideas of [<CitationRef CitationID="CR11">11</CitationRef>], 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 [<CitationRef CitationID="CR3">3</CitationRef>, <CitationRef CitationID="CR4">4</CitationRef>], 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 [<CitationRef AdditionalCitationIDS="CR2 CR3" CitationID="CR1">1</CitationRef>–<CitationRef CitationID="CR4">4</CitationRef>]. This allows us to tackle the problem of determining the optimal quasistatic transformation among the equivalent ones.</p>

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On the Equivalence and Optimality of Transformations of Diffusive Systems

  • Davide Gabrielli,
  • Giovanni Jona-Lasinio

摘要

In this paper we introduce, inspired by Clausius and developing the ideas of [11], 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 [3, 4], 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 [14]. This allows us to tackle the problem of determining the optimal quasistatic transformation among the equivalent ones.