  We present a study of two model liquids with different interaction
potentials, exhibiting similar structure but significantly different dynamics
at low temperatures. By evaluating the configurational entropy, we show that
the differences in the dynamics of these systems can be understood in terms of
their thermodynamic differences. Analyzing their structure, we demonstrate that
differences in pair correlation functions between the two systems, through
their contribution to the entropy, dominate the differences in their dynamics,
and indeed overestimate the differences. Including the contribution of higher
order structural correlations to the entropy leads to smaller estimates for the
relaxation times, as well as smaller differences between the two studied
systems.
