The physical boundary of metastable states, the kinetic spinodal, is introd
uced as a locus where the lifetime of metastable state becomes shorter than
a relaxation time to local equilibrium. The theory does not contain any ad
justable parameters. If the surface tension is known, the kinetic spinodal
is completely determined by the equation of state only. The curvature effec
t on the surface tension and nucleation barrier is considered and a general
, curvature-corrected, equation for the kinetic spinodal is developed. The
theory was tested against experimental data for the homogeneous nucleation
limit of superheated, stretched, and supercooled water. In all cases, good
agreement between theoretical predictions and experimental data was achieve
d. We find that in water, the Tolman length is negative and the curvature e
ffect increases the surface tension and the nucleation barrier. The glass t
ransition in supercooled water is also discussed. The high-temperature limi
t for glassy states is introduced as a second root of the kinetic equation
in supercooled fluids. (C) 2001 Elsevier Science BN. All rights reserved.