Effect of gravity and confinement on phase equilibria: A density matrix renormalization approach

The effect of gravity on a two dimensional fluid, or Ising magnet, confined between opposing walls is analysed by density matrix renormalization. Gravity restores two phase coexistence up to the bulk critical point, in agreement with mean field calculations. A detailed finite size scaling analysis of the critical paint shift is performed. Density matrix renormalization results are very accurate and the technique is promising and best suited to study equilibrium properties of two dimensional classical systems in contact with walls or with free surfaces.