text: The limitations of the kinetic Monte Carlo model introduced in the previous Section are related 
  
  to its character as a two-dimensional lattice gas with only three states: gas, liquid or particle. 
  
  This implies that (i) no liquid can be transported to a site on the surface already ﬁlled with liquid, 
  
  i.e., diffusion of the liquid can not be incorporated in a sensible way and (ii) one is not able to 
  
  distinguish between the inﬂuence of the short- and the long-range parts of the interactions with the 
  
  substrate, as all such interactions are absorbed into the effective chemical potential. 
  
  However, using dynamical density functional theory (DDFT) [78–83] one can develop a model 
  
  for the processes in the ultrathin postcursor ﬁlm without these limitations, although here we limit 
  
  ourselves to developing the theory at the level of the KMC and solely discuss how to extend it to 
  
  incorporate the inﬂuence of the liquid diffusion over the surface. Such a DDFT model describes 
  
  the coupled dynamics of the density ﬁelds of the liquid ρl and the nanoparticles ρn. The densities 
  
  ρl and ρn are deﬁned as the probabilities of ﬁnding a given lattice site on the surface to be occupied 