text: where the particle concentration dependent diffusion coefﬁcient D(φ) is related to the viscosity by 
  
  the Einstein relation D(φ) = kT /6πRη(φ), where R is the radius of the nanoparticles [96]. 
  
  We illustrate results obtained employing this thin ﬁlm theory using the single example of a re- 
  
  ceding dewetting front for a partially wetting ﬁlm. We use the disjoining pressure and material 
  
  constants for the liquid considered in Ref. [57], where the evaporative and convective dewetting 
  
  of a ﬁlm of volatile liquid is studied. We add, however, the nanoparticles to the system. The 
  
  expression that we employ for the local free energy term in Eq. (2) is: 
  
  (cid:18) d0 − h 
  l0 
  
  (cid:19) 
  SLW d2 
  0 
  f (h) = 
  h2 + SP exp 
  ,  (10) 
  
  where the parameters characterising the interaction between the liquid ﬁlm and the surface are 
  
  the apolar and polar spreading coefﬁcients SLW and SP , respectively, the Debye length l0 and the 
  
  Born repulsion length d0 [57]. The resulting disjoining pressure Π = −∂hf (h) allows for a stable 
  
  precursor ﬁlm (thickness hprecursor) and also has a second (larger) thickness (h0) that corresponds 