On the number of droplets in aerosols
Henri Gouin (MSNMGP, LMMT), Fran\c{c}oise Cubisol
TL;DR
This paper presents theoretical bounds on the maximum number of droplets formed in aerosols under supersaturation conditions, relating it to vapor pressure differences, and discusses the energy required for droplet formation.
Contribution
It introduces mathematical bounds on droplet count and formation energy in aerosols based on vapor pressure differences, advancing theoretical understanding.
Findings
Maximum droplet number proportional to (pv - pvo)^4
Formation energy bounded by a value proportional to (pv - pvo)^2
Provides a theoretical framework for aerosol droplet formation
Abstract
The number of droplets which may be formed with a supersaturated vapor in presence of a gas cannot exceed a number proportional to (pv-pvo)4 where pv and pvo denote at the same temperature the pressure of the supersaturated vapor-gas mixture and the pressure of the saturated vapor-gas mixture. The energy necessary to the droplet formation is also bounded by a number proportional to (pv-pvo)2 .
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