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Using molecular dynamics simulations, we study a liquid model which consistsof particles interacting via a spherically-symmetric two-scale Jagla ramppotential with both repulsive and attractive ramps. The Jagla potentialdisplays anomalies similar to those found in liquid water, namely expansionupon cooling and an increase of diffusivity upon compression, as well as aliquid-liquid (LL) phase transition in the region of the phase diagramaccessible to simulations. The LL coexistence line, unlike intetrahedrally-coordinated liquids, has a positive slope, because of theClapeyron relation, corresponding to the fact that the high density phase (HDL)is more ordered than low density phase (LDL). When we cool the system atconstant pressure above the critical pressure, the hydrodynamic propertiesrapidly change from those of LDL-like to those of HDL-like upon crossing theWidom line. The temperature dependence of the diffusivity also changes rapidlyin the vicinity of the Widom line, namely the slope of the Arrhenius plotsharply increases upon entering the HDL domain. The properties of the glasstransition are different in the two phases, suggesting that the less orderedphase (LDL) is fragile, while the more ordered phase (HDL) is strong, which isconsistent with the behavior of tetrahedrally-coordinated liquids such as watersilica, silicon, and BeF$_2$.Comment: 9 pages, 18 figure

Thermodynamics and dynamics of the two-scale spherically symmetric Jagla ramp model of anomalous liquids