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Updated: Aug 31, 2025

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Connecting entropy scaling and density scaling
Ian H Bell1, Robin Fingerhut2, Jadran Vrabec2
1Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
Abstract:
It is shown that the residual entropy (entropy minus that of the ideal gas at the same temperature and density) is mostly synonymous with the independent variable of density scaling, identifying a direct link between these two approaches. The residual entropy and the effective hardness of interaction (itself a derivative at constant residual entropy) are studied for the Lennard-Jones monomer and dimer as well as a range of rigid molecular models for carbon dioxide. It is observed that the density scaling exponent appears to be related to the two-body interactions in the dilute-gas limit.
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