2024/02/22 by R. Peredo-Ortíz, O. Joaquín-Jaime, Peredo-Ortiz, R. +7
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Applied Physics (physics.app-ph) #FOS: Physical sciences #Material Science and Thermodynamics #Materials Science (cond-mat.mtrl-sci) #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2402.14242
openalex publication_date 2024/02/22 · openalex created_date 2024/02/24 · openalex updated_date 2026/07/28
We propose a first-principles theoretical approach for the description of the aging of the linear viscoelastic properties of a colloidal liquid after a sudden quench into a dynamically arrested (glass or gel) state. Specifically, we couple a general expression for the time-evolving shear-stress relaxation function η(τ;t) (whose τ-integral is the instantaneous viscosity η(t)), written in terms of the non-equilibrium structure factor S(k;t) and intermediate scattering function F(k,τ;t), with the equations that determine S(k;t) and F(k,τ;t), provided by the non-equilibrium self-consistent generalized Langevin equation (NE-SCGLE) theory. In this manner, we obtain a closed theoretical scheme that directly connects inter-particle forces with experimentally accessible rheological properties of non-equilibrium amorphous states of matter. The predictive capability of the resulting theoretical formalism is illustrated here with its concrete application to the Weeks-Chandler-Andersen (WCA) model of a soft-sphere fluid.