2015/02/28 by Peter Gurin, Szabolcs Varga · 1 citation
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.4922154
published as The Journal of Chemical Physics, 142, 224503 (2015)
arxiv created 2015/06/26 · arxiv updated 2015/06/29
We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a quasi-one-dimensional system of hard squares confined between two parallel walls, where the pore width is between σ and 3σ ( σ is the side length of the square). The exact equation of state and the nearest neighbour distribution functions show three different structures: a fluid phase with one layer, a fluid phase with two layers and a solid-like structure where the fluid layers are strongly correlated. The structural transition between differently ordered fluids develops continuously with increasing density, i.e. no thermodynamic phase transition occurs. The high density structure of the system consists of clusters with two layers which are broken with particles staying in the middle of the pore.