Abstract
We use the recently-proposed compressible cell Ising-like model to estimate the ratio between thermal expansivity and specific heat (the Grüneisen parameter Γs) in supercooled water. Near the critical pressure and temperature, Γs becomes significantly sensitive to thermal fluctuations of the order-parameter, a characteristic behavior of pressure-induced critical points. Such enhancement of Γs indicates that two energy scales are governing the system, namely the coexistence of high- and low-density liquids, which become indistinguishable at the critical point in the supercooled phase. The temperature dependence of the compressibility, sound velocity and pseudo-Grüneisen parameter Γw are also reported. Our findings support the proposed liquid-liquid critical point in supercooled water in the No-Man’s Land regime, and indicates possible applications of this model to other systems. In particular, an application of the model to the qualitative behavior of the Ising-like nematic phase in Fe-based superconductors is also presented.
Highlights
Because it is biologically fundamental to the maintenance of all life, liquid water is one of the most important substances on the planet
Our analysis of Γs is complemented by the discussion of the pseudo-Grüneisen parameter (Γw)[18], see Methods
The obtained expressions for the observables, namely the isobaric thermal expansion αp, the isobaric heat capacity cp and the isothermal compressibility κT together with Γs enable us to study the behavior of the system on the verge of the critical point
Summary
We use the recently-proposed compressible cell Ising-like model to estimate the ratio between thermal expansivity and specific heat (the Grüneisen parameter Γs) in supercooled water. We study the liquid-liquid critical point for supercooled water by analysing the behavior of the Grüneisen parameter (Γs), see Methods. Such approach has already been successfully applied to other systems[8,9,10,11]. The model proposed in ref.[12] assumes the coexistence of two possible volume values for each cell on the lattice, represented by v− = v0 and v+ = v0 + δv These volumes are responsible for the change between high- and low-density liquids in the system. Our analysis of Γs is complemented by the discussion of the pseudo-Grüneisen parameter (Γw)[18], see Methods
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