Stability limit conjecture

Speedy, RJ. 1982. Stability-limit conjecture An interpretation of the properties of water. J. Phys. Chem. 86, 982-991. 

Several explanations have been proposed to account for the anomalies of water (i) the stability limit conjecture [18], (ii) the metastable liquid-liquid critical point (LLCP) hypothesis [19], and (iii) the singularity free (SF) scenario [20]. An excellent review of the properties of supercooled water and the explanations proposed can be found in Ref. [16]. We just give here a brief overview. 

Below, we describe some of the scenarios that have been explored as a way of rationalizing the thermodynamics of liquids displaying anomalies, such as water. These are (i) the stability limit conjecture [46,55,58,59], (ii) the liquid-liquid critical point scenario [16], (ill) the singularity free scenario [60], and (iv) the critical point free scenario [37],... 

If these conjectures are true, the necked nodoid would have, in a simple particular case, a clearly definite limit of stability. 

I was led to believe that the skew helicoid with central axis does not have a limit of stability, at least at the time which it is included, in the film state, in a solid system composed of a portion of the axis and a spiral attached to it by straight segments ( 130) indeed, that which I formed had two complete whorls, and it was perfectly stable however, according to a remark of Mr. Schwarz, one easily shows the exactitude of this conjecture, on the basis of a known result of the calculation of the variations. 

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