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ROOT STRUCTURE OF A FINITE ADSORPTION CELL
2026-10-04
The root structure of the finite partition function of a single-cell adsorption model has been investigated. A relationship has been established between the zeros of the partition function, the occupancy distribution, fluctuations, and the equilibrium response of the system. For a fixed cell capacity, a complete classification of the root regimes and successive root collisions within the physical parameter domain has been carried out.
In the fully real negative-root regime, an exact Poisson-binomial factorization of the occupancy distribution has been established, and a spectral representation of the equilibrium response has been obtained. The temperature dependence, stability of the root structure, sensitivity of the spectral scales, and the asymptotic behavior with increasing cell capacity have been investigated, leading to a connection with the partial theta function.
The results have been applied to the adsorption of CO₂ and CH₄ in NaY. Comparisons with experimental data and with the Langmuir, Sips, and Toth reference models have been performed.
The archive contains the main manuscript, the author’s commentary, and the complete set of computational and verification materials accompanying the work.
All supplementary material is included in the archive on Zenodo https://doi.org/10.5281/zenodo.23119116
Ссылка для цитирования:
Rybakov P. 2026. ROOT STRUCTURE OF A FINITE ADSORPTION CELL. PREPRINTS.RU. https://doi.org/10.24108/preprints-3116583
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