Exploring Quantized Entropy Production Strength in Mesoscopic Irreversible Thermodynamics

EasyChair Preprint no. 13751

Abstract

This letter aims to investigate thermodynamic processes in small systems in the Onsager region by showing that fundamental quantities such as total entropy production can be discretized on the mesoscopic scale. Even the thermodynamic variables conjugate to the thermodynamic forces and the Glansdorff-Prigogine’s dissipative variable may be discretized. The Canonical Commutation Rules (CCRs) valid at the mesoscopic scale are postulated and the measurement process consists of determining the eigenvalues of the operators associated with the thermodynamic quantities. The nature of the quantized quantity beta, entering the CCRs, is investigated by a heuristic model for nano-gas and analyzed through the tools of classical statistical physics. We conclude that according to our model, the constant beta does not appear to be a new fundamental constant but corresponds to the minimum value.

Keyphrases: Canonical Commutation Rules, Mesoscopic Scale, Thermodynamics of Irreversible Processes

@Booklet{EasyChair:13751,
  author = {Giorgio Sonnino},
  title = {Exploring Quantized Entropy Production Strength in Mesoscopic Irreversible Thermodynamics},
  howpublished = {EasyChair Preprint no. 13751},

  year = {EasyChair, 2024}}