Transport coefficients in hard-sphere fluids: thermodynamic versus kinetic descriptions
Abstract
A thermodynamic theory for transport coefficients in hard-sphere fluids is developed from a general expression for the Onsager matrix. The theory predicts the ratio σ/σid, where σ is a transport coefficient and σid denotes its dilute-gas value. This ratio depends exclusively on equilibrium thermodynamic properties and can therefore be computed directly from the equation of state. Compact expressions are obtained for the thermal conductivity, viscosity, and self-diffusion coefficient. These expressions agree closely with simulation data at low and intermediate densities and remain useful across the fluid range, although deviations increase near freezing, particularly for viscosity. The self-diffusion prediction substantially improves upon Enskog theory. These results support a thermodynamic description of transport coefficients relative to their dilute-gas values.
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BibTeX
@misc{hoyuelos2026transport,
title = {{Transport coefficients in hard-sphere fluids: thermodynamic versus kinetic descriptions}},
author = {Miguel Hoyuelos},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2608.06143},
eprint = {2608.06143},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.06143},
}
RIS
TY - UNPB
TI - Transport coefficients in hard-sphere fluids: thermodynamic versus kinetic descriptions
AU - Miguel Hoyuelos
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2608.06143
UR - https://arxiv.org/abs/2608.06143
AB - A thermodynamic theory for transport coefficients in hard-sphere fluids is developed from a general expression for the Onsager matrix. The theory predicts the ratio σ/σ_id, where σ is a transport coefficient and σ_id denotes its dilute-gas value. This ratio depends exclusively on equilibrium thermodynamic properties and can therefore be computed directly from the equation of state. Compact expressions are obtained for the thermal conductivity, viscosity, and self-diffusion coefficient. These expressions agree closely with simulation data at low and intermediate densities and remain useful across the fluid range, although deviations increase near freezing, particularly for viscosity. The self-diffusion prediction substantially improves upon Enskog theory. These results support a thermodynamic description of transport coefficients relative to their dilute-gas values.
ER -