On the experimental determination of the repulsive component of the potential from high pressure measurements: what is special about twelve?
arXiv:1910.14536 · doi:10.1063/1.5123614
Abstract
In this paper we present an overview of results in the literature regarding the thermodynamical scaling of the dynamics of liquids and polymers as measured from high-pressure measurements. Specifically, we look at the scaling exponent gamma, and argue that it exhibits the limiting behavior gamma=4 in regimes for which molecular interactions are dominated by the repulsive part of the intermolecular potential. For repulsive potentials of the form U(r)= r^n, gamma has been found to be related to the exponent n via the relation gamma = n/3. Therefore, this limiting behavior for gamma would suggest that a large number of molecular systems may be described by a common repulsive potential U(r)~ r^n with n~12.
arXiv commentaccepted for publication in Journal of Chemical Physics in 2019
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