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Thermodynamics of particle systems in the presence of external macroscopic fields

I. Classical case

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Abstract

We study the grand partition function of a system of identical particles interacting via a superstable potential in the presence of an external field depending on a scale factor. We discuss the case when the scale factor increases to infinity (macroscopic limit for the external potential) and we prove rigorously a link between the so obtained pressure and the usual one (barometric formula).

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Authors and Affiliations

  1. Istituto Matematico, Università di Roma, Rome, Italy

    C. Marchioro

  2. Istituto di Fisica, Facoltà di Ingegneria, Università di Roma, Rome, Italy

    E. Presutti

  3. Istituto di Fisica, Università dell'Aquila, L'Aquila, Italy

    E. Presutti

Authors
  1. C. Marchioro
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  2. E. Presutti
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Research partially supported by the Consiglio Nazionale delle Ricerche.

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Marchioro, C., Presutti, E. Thermodynamics of particle systems in the presence of external macroscopic fields. Commun.Math. Phys. 27, 146–154 (1972). https://doi.org/10.1007/BF01645617

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  • DOI: https://doi.org/10.1007/BF01645617

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