A proposal for the thermodynamics of certain open systems

Francesco Fidaleo and Stefano Viaggiu

Physica A: Statistical Mechanics and its Applications, 2017, vol. 468, issue C, 677-690

Abstract: Motivated by the fact that the (inverse) temperature might be a function of the energy levels in the Planck distribution nε=1ζ−1eβ(ε)ε−1 for the occupation number nε of the level ε, we show that it can be naturally achieved by imposing the constraint concerning the conservation of a weighted sum ∑εf(ε)εnε, with a fixed positive weight function f, of the contributions of the single energy levels occupation in the Microcanonical Ensemble scheme, obtaining β(ε)∝f(ε). This immediately addresses the possibility that also a weighted sum ∑εg(ε)nε of the particles occupation number is conserved, having as a consequence that the chemical potential might be a function of the energy levels of the system as well. This scheme leads to a thermodynamics of open systems in the following way:

Keywords: Thermodynamics of open systems; Microcanonical ensemble; Entropy; Equilibrium and non-equilibrium thermodynamics; Irreversible thermodynamics; Non-equilibrium steady states; Bose–Einstein Condensation (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:468:y:2017:i:c:p:677-690

DOI: 10.1016/j.physa.2016.10.058

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