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Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets. / Kuchma, A.; Markov, M.; Shchekin, A.
в: Physica A: Statistical Mechanics and its Applications, Том 402, 2013, стр. 255-265.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets
AU - Kuchma, A.
AU - Markov, M.
AU - Shchekin, A.
PY - 2013
Y1 - 2013
N2 - An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to non-stationary diffusion onto growing droplets. This description suggests that the intensity of the nucleation of new droplets is suppressed in spherical diffusion regions of a certain size surrounding previously nucleated droplets, and remains at the initial level in the remaining volume of the vapor-gas medium. The value of volume excluded from nucleation depends on the explicit form of the vapor concentration profile in the space around the growing droplet, and we use for that the unsteady self-similar solution of time-dependent diffusion equation with a convective term describing the flow of the gas-vapor mixture caused by moving surface of single growing droplet. The main characteristics of the phase transition at the end of the nucleation stage are found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).
AB - An analytical description of nucleation stage in a supersaturated vapor withinstantly created supersaturation is given with taking into account the vapor concentration inhomogeneities arising as a result of depletion due to non-stationary diffusion onto growing droplets. This description suggests that the intensity of the nucleation of new droplets is suppressed in spherical diffusion regions of a certain size surrounding previously nucleated droplets, and remains at the initial level in the remaining volume of the vapor-gas medium. The value of volume excluded from nucleation depends on the explicit form of the vapor concentration profile in the space around the growing droplet, and we use for that the unsteady self-similar solution of time-dependent diffusion equation with a convective term describing the flow of the gas-vapor mixture caused by moving surface of single growing droplet. The main characteristics of the phase transition at the end of the nucleation stage are found and compared with those in the theory of nucleation with homogeneousvapor consumption (the theory of mean-field vapor supersaturation).
KW - phase transitions
KW - kinetics
KW - nucleation
KW - droplets
KW - non-stationary diffusion
U2 - 10.1016/j.physa.2014.02.005
DO - 10.1016/j.physa.2014.02.005
M3 - Article
VL - 402
SP - 255
EP - 265
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
ER -
ID: 98503950