Thermodynamic integration , complex distribution

If the velocity distribution in the reaction coordinate is assumed to be Maxwellian (because of the hypothesis of thermodynamic equilibrium for the complex), then a simple integration shows that v = where... 

However, two-phase dynamics are commonly treated in a very simple way (or even ignored by some modeling systems) by both fairly simple integral models and more complex three-dimensional fluid models. Practically all of these models rely on the homogeneous equilibrium assumptions, implying that the liquid is uniformly distributed in the cloud and that the liquid and the gas are at a uniform temperature and in thermodynamical equilibrium. 

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