Statistical prefactor and nucleation rate near and out of the critical point |
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| Affiliation: | 1. Institute for Theoretical Physics, University of Frankfurt, Robert-Mayer-Strasse 8-10, D-60054 Frankfurt, Germany;2. Institute for Nuclear Physics, Moscow State University, 119899 Moscow, Russia;1. Laboratory for Nuclear Materials, Paul Scherrer Institute, Villigen PSI, 5232, Switzerland;2. Institute of Advanced Structure & Technology, Beijing Institute of Technology, Beijing, 100081, China;3. Laboratory of Metal Physics and Technology, Department of Materials, ETH Zurich, 8093, Zurich, Switzerland;1. Dept. of Nuclear Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, MA, 02139, USA;2. EROB (Engineering Research Office Building) 2525 N. Fremont Ave., Idaho National Laboratory, Idaho Falls, ID, 83145, USA;1. Helsinki Institute of Physics and Department of Physics, P.O. Box 43 (Pehr Kalms gata 2), FI-00014 University of Helsinki, Finland;2. Institute of Nuclear Materials Science, SCK•CEN, Boeretang 200, 2400 Mol, Belgium;1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe shosse 31,115409, Moscow, Russia;2. National Science Centre “Kharkov Institute of Physics and Technology”, Akademicheskay st. 1, 61108, Kharkov, Ukrain;1. Instituto de Fusion Nuclear (IFN), C/ José Gutierrez Abascal 2, Madrid 28006, Spain;2. Facultad de Ciencias – Universidad de Oviedo, C/ Calvo Sotelo s/n, Oviedo 22007, Spain;3. IMDEA Materials Institute, C/ Enric Kandel, Getafe 28906, Spain |
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| Abstract: | The nucleation rate derived in the classical theory contains at least one undetermined parameter, which may be expressed in terms of the Langer first-principles theory. But the uncertainties in the accounting for fluctuation modes, which are either absorbed into the free energy of a critical cluster or not, result in different evaluations of the statistical prefactor and nucleation rate. We get the scaling approximations of the nucleation rate for the vapour condensation both near and out of the critical range. The results obtained deserve the experimental verification to resolve the theoretical uncertainty. |
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