Abstract
A discrete-velocity Boltzmann model is introduced. It is based on two principles: (i) clusters of particles move in ℝ3 with seven fixed momenta; (ii) clusters may gain or lose particles according to the rules of Becker-Döring cluster equations. The model provides a kinetic representation of evaporation and condensation. The model is used to obtain macroscopic fluid equations which are valid into the metastable fluid regime,\(0 \leqslant \rho< \rho _s + O(\mu ^\sigma )\), where σ is any positive number, μ is the inelastic Knudsen number, andρ s is the saturation density.
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Slemrod, M. Metastable fluid flow described via a discrete-velocity coagulation-fragmentation model. J Stat Phys 83, 1067–1108 (1996). https://doi.org/10.1007/BF02179553
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DOI: https://doi.org/10.1007/BF02179553