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β, the critical temperature is higher by 0.3 to 0.4 K than the intersect (213 K) with atmospheric pressure line. Then, the critical pressure is not lower than -5 MPa if (dp/dT) along the coexistence line does not change from that estimated at 0.1 MPa. Even if we adopt an exponent of β=0.5 from a mean field theory, the critical pressure is not lower than -20 MPa.
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note
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MD simulations for monatomic fluid interacting via Lennard-Jones potential have been performed at temperature 1.25 in LJ reduced unit which is just below its (gas-liquid) critical point, and at pressure 0.10. The critical temperature and pressure are 1.313 and 0.13, see J. K Johnson, J.A. Zollweg, and K.E. Gubbins, Mol. Phys. 78, 591 (1993). The density fluctuates in a range from 0.01 to 0.5 and its mean values is approximately the same as the critical density 0.3.
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85033061531
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note
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This point is not clear from only those shown in the text. In a fairly large number of molecules, only 30 cycles of the coarse graining do not take effect appreciably. When we adopt a system with smaller number of water molecules such as 64, the number of Q-structures in configuration space is rather limited and the number of structures after coarse graining is much reduced: The number of independent structures, 523 obtained from simple quenching was much reduced to 113 after 50 cycles of coarse graining when the number of water molecules was 64. See Ref. 52.
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