Extreme case of density scaling: The Weeks-Chandler-Andersen system at low temperatures

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Abstract

This paper studies numerically the Weeks-Chandler-Andersen system, which is shown to obey hidden scale invariance with a density-scaling exponent that varies from below 5 to above 500. This unprecedented variation makes it advantageous to use the fourth-order Runge-Kutta algorithm for tracing out isomorphs. Good isomorph invariance of structure and dynamics is observed over more than three orders of magnitude temperature variation. For all state points studied, the virial potential-energy correlation coefficient and the density-scaling exponent are controlled mainly by the temperature. Based on the assumption of statistically independent pair interactions, a mean-field theory is developed that rationalizes this finding and provides an excellent fit to data at low temperatures.

Original languageEnglish
Article number062140
JournalPhysical Review E
Volume103
Issue number6
ISSN2470-0045
DOIs
Publication statusPublished - Jun 2021

Bibliographical note

Funding Information:
This work was supported by the VILLUM Foundation's Matter grant (No. 16515).

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