1990/04/01 by Matthias Sperl, 広明 浦野 · 4 citations
Chemical Engineering · Materials Science · Physics and Astronomy · #Liquid Crystal Research Advancements #Material Dynamics and Properties #Thermodynamic properties of mixtures #cond-mat.soft
paper · pdf · doi:10.1103/physreve.68.031405
published as Phys. Rev. E 68, 031405 (2003) · 13 pages, 13 figures, Phys. Rev. E, in print
openalex publication_date 1990/04/01 · arxiv created 2003/07/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/04/28
The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter points near a higher-order glass-transition singularity. The solutions of the equations of motion for the density correlation functions are solved for the square-well system in quantitative detail by asymptotic expansion using the distance of the three control parameters-packing fraction, attraction strength and attraction range-from their critical values as small parameters. For given wave vectors, distinguished surfaces in parameter space are identified where the next-to-leading-order contributions for the expansion vanish so that the decay functions exhibit a logarithmic decay over large time intervals. For both coherent and tagged particle dynamics the leading-order logarithmic decay is accessible in the liquid regime for wave vectors of several times the principal peak in the structure factor. The logarithmic decay in the correlation function is manifested in the mean-squared displacement as a subdiffusive power law with an exponent varying sensitively with the control parameters. Shifting parameters through the distinguished surfaces, the correlation functions and the logarithm of the mean-squared displacement considered as functions of the logarithm of the time exhibit a crossover from concave to convex behavior, and a similar scenario is obtained when varying the wave vector.