Particle-number fluctuations and interspecies correlations in reactive quantum gas mixtures: a reformulation of chemical equilibrium in the canonical ensemble
Diogo J. L. Rodrigues ()
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Diogo J. L. Rodrigues: University of Oviedo, Department of Physical and Analytical Chemistry, Faculty of Chemistry
The European Physical Journal B: Condensed Matter and Complex Systems, 2025, vol. 98, issue 11, 1-11
Abstract:
Abstract The canonical-ensemble description of homogeneous reactive quantum gas mixtures is reformulated by incorporating a single global particle-number conservation constraint over the combined spectra of interconverting species. This constraint replaces the conventional equality of chemical potentials. Fermi–Dirac or Bose–Einstein correlations naturally emerge across one-particle energy eigenstates of species sharing identical spin statistics, which in ergodic single systems manifest as intrinsic features of the equilibrium state. By embedding all microstates linked by conversion pathways, the framework incorporates concentration fluctuations in the statistical description. The formalism offers fresh insights into quantum chemical equilibrium in reactive mixtures with composition fluctuations and smoothly reduces to the classical ideal gas limit via an extended partition function that generalizes classical chemical-equilibrium treatments. Graphical abstract
Date: 2025
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DOI: 10.1140/epjb/s10051-025-01097-9
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