Abstract
The fluctuation growth of a macroscopic bubble containing a vapor in a moderately superheated or tensile-stressed volatile liquid is treated as the two-dimensional diffusion of a nucleus of a new phase in the space of variables made up of its volumev and the pressure of the vapor in itp. The shape of the free energy surface of the system “liquid plus bubble with vapor” in the plane (V; p) in the neighborhood of the labile equilibrium of the system is examined, and a two-dimensional nucleus distribution function given with respect to its variables is derived. Close to the pass in the surface a nondiagonal diffusion tensor in the space (V, p) is also calculated. A two-dimensional stationary equation of the kinetics of the formation of a new phase of Kramers type is solved, and an expression is derived for the probability of homogeneous nucleation for an arbitrary viscosity and volatility of a liquid far from its critical point. Various limiting cases are examined.
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Derjaguin, B.V., Prokhorov, A.V. & Tunitskij, N.N. Statistical thermodynamics of the formation of a new phase in the boiling up of volatile liquids. J Stat Phys 23, 495–520 (1980). https://doi.org/10.1007/BF01011578
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DOI: https://doi.org/10.1007/BF01011578