Home

CV

Research

People

Teaching

Blog

Reference [<] [>] [x] : Figure [<] [>] [x]

38.

Freezing in the presence of disorder: A lattice study M. Schmidt, L. Lafuente, and J. A. Cuesta, J. Phys.: Condens. Matt. 15, 4695 (2003). Locate in [bare] [illustrated] list. Get [full paper] as pdf. Abstract. 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 nof 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. [figures] Read the [full paper] as pdf.

Fluids in random media

The density functional theory for quenched-annealed mixtures [24] relates the quenched components to a random porous medium and the annealed components model to an adsorbate fluid (mixture). See [46] for the explicit relation to the the replica trick. Colloid-polymer mixtures were studied in bulk random matrices [32], exhibiting (gas-liquid) interfaces [41], and wetting properties at porous substrates [56]. Rods were immersed in quenched sphere matrices [54], and spheres were immersed in random fibre networks [39]. Freezing is hindered in the presence of disorder [38]. See [33] for the related non-equilibrium process of random sequential adsorption.

[more]