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This paper extends our earlier studies of free energy functions of densityand crystalline order parameters for models of supercooled water, which allowsus to examine the possibility of two distinct metastable liquid phases [J.Chem. Phys. 135, 134503 (2011) and arXiv:1107.0337v2]. Low-temperaturereversible free energy surfaces of several different atomistic models arecomputed: mW water, TIP4P/2005 water, SW silicon and ST2 water, the last ofthese comparing three different treatments of long-ranged forces. In each case,we show that there is one stable or metastable liquid phase, and there is anice-like crystal phase. The time scales for crystallization in these systemsfar exceed those of structural relaxation in the supercooled metastable liquid.We show how this wide separation in time scales produces an illusion of alow-temperature liquid-liquid transition. The phenomenon suggestingmetastability of two distinct liquid phases is actually coarsening of theordered ice-like phase, which we elucidate using both analytical theory andcomputer simulation. For the latter, we describe robust methods for computingreversible free energy surfaces, and we consider effects of electrostaticboundary conditions. We show that sensible alterations of models and boundaryconditions produce no qualitative changes in low-temperature phase behaviors ofthese systems, only marginal changes in equations of state. On the other hand,we show that altering sampling time scales can produce large and qualitativenonequilibrium effects. Recent reports of evidence of a liquid-liquid criticalpoint in computer simulations of supercooled water are considered in thislight.

The Putative Liquid-Liquid Transition is a Liquid-Solid Transition in Atomistic Models of Water, Part II