2008/04/11 by R. L. C. Vink, Kurt Binder, K. Binder +2 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.1088/0953-8984/20/40/404222
24 pages, CODEF II conference proceedings paper, Bonn, Germany (2008)
arxiv created 2008/04/11 · openalex publication_date 2008/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
As a generic model for liquid–vapor-type transitions in random porous media, the Asakura–Oosawa model for colloid–polymer mixtures is studied in a matrix of quenched spheres using extensive Monte Carlo (MC) simulations (in d = 3 spatial dimensions). Since such systems at criticality, as well as in the two-phase region, exhibit a lack of self-averaging, the analysis of MC data via finite size scaling requires special care. After presenting the necessary theoretical background and the resulting subtleties of finite size scaling in random-field Ising-type systems, we present data on the order parameter distribution (and its moments) as a function of colloid and polymer fugacities for a broad range of system sizes, and for many (thousands) realizations of the porous medium. Special attention is paid to the 'connected' and 'disconnected' susceptibilities, and their respective critical behavior. We show that both susceptibilities diverge at the critical point, and we demonstrate that this is compatible with the predicted scenario of random-field Ising universality.