Surface critical behavior of fluids: Lennard-Jones fluid near weakly   attractive substrate
  The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the LJ fluid is found to be very similar to the behavior of water near hydrophobic surfaces (Brovchenko et al. J.Phys.: Cond.Matt. v.16, 2004). A universal critical behavior of the local order parameter, defined as the difference between the local densities of the coexisting liquid and vapor phases at some distance z from the pore walls, Deltarho(z) = (rho_l(z) - rho_v(z))/2, is observed in a wide temperature range and found to be consistent with the surface critical behavior of the Ising model. Near the surface the dependence of the order parameter on the reduced temperature tau = (T_c - T)/T_c obeys a scaling law ~ tau^(beta_1) with a critical exponent beta_1 of about 0.8, corresponding to the ordinary surface transition. A crossover from bulk-like to surface-like critical behavior with increasing temperature occurs, when the correlation length is about half the distance to the surface. Relations between the ordinary and normal transitions in Ising systems and the surface critical behavior of fluids are discussed. 
I.Brovchenko, A.Geiger, A.Oleinikova