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This paper studies numerically the Weeks-Chandler-Andersen (WCA) system,which is shown to obey hidden scale invariance with a density-scaling exponentthat varies from below 5 to above 500. This unprecedented variation makes itadvantageous to use the fourth-order Runge-Kutta algorithm for tracing outisomorphs. Good isomorph invariance of structure and dynamics is observed overmore than three orders of magnitude temperature variation. For all state pointsstudied, the virial potential-energy correlation coefficient and thedensity-scaling exponent are controlled mainly by the temperature. Based on theassumption of statistically independent pair interactions, a mean-field theoryis developed that rationalizes this finding and provides an excellent fit todata at low temperatures and densities.

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