RT journal article T1 Freezing in the presence of disorder: A lattice study A1 Schmidt, Matthias A1 Lafuente Molinero, Luis A1 Cuesta, José A. A2 Matemáticas AB We investigate the freezing transition in a two-dimensional lattice model of annealed hard squares that are subject to the influence of randomly placed quenched particles of the same size. The latter model is a porous medium. By combining two recent density functional approaches we arrive at a theory for quenched-annealed lattice fluids that treats the quenched particles on the level of their one-body density distribution. We show that this approach yields thermodynamics that compare well with results from treating matrix realizations explicitly and performing subsequent averaging over the disorder. The freezing transition from a fluid to a columnar phase is found to be continuous. On increasing matrix density it shifts towards close packing and vanishes beyond a threshold matrix density. PB Institute of Physics Publisihing SN 0953-8984 YR 2003 FD 2003-06-27 LK http://hdl.handle.net/10498/30857 UL http://hdl.handle.net/10498/30857 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 09-may-2026