Proposed high-pressure calorimetric experiment to probe theoretical predictions on the liquid-liquid critical point hypothesis

Abstract

A high-pressure calorimetric experiment to test the validity of a water model's prediction, regarding the behavior of the heat capacity in the liquid-liquid critical point and singularity-free scenarios, is proposed in this paper. The response of the specific heat at high pressure is different depending on the existence, or not, of a second critical point. If the model presents a second critical point, there is a nondivergent maximum in the specific heat at a temperature T approximately T(c) for any pressure P > P(c) (T(c) and P(c) being the temperature and pressure of the model's second critical point). This maximum does not appear for the model with a singularity free scenario.