Mode-coupling theory made quantitative: from gelation to rheological properties in colloids.
Financement : allocations doctorales ED SIE UPEC, sur concours
Encadrement dans l’équipe Contact :
amokrane@u-pec.fr
Following first attempts to make the mode-coupling theory (MCT) more quantitative, recently we showed [1]-[3] that the simple correction consisting in using an effective density in the MCT vertex significantly improved the quantitative predictions of the MCT, well beyond than time correlation functions. The justification of this correction from first principles should stimulate works about the MCT. The goal of the PhD work is to investigate this matter as well as comparisons to simulation data.
[1] S. Amokrane, F. Tchangnwa Nya and J.M. N'Djaka, European Physical J. E 40, 17 (2017), Glass transition in hard core fluids and beyond, using an effective static structure in the mode coupling theory
[2] S. Amokrane and Ph. Germain, Phys Rev E 99 052120 (2019) relaxation, shear viscosity, and elastic moduli of hard-particle fluids from a mode-coupling theory with a retarded vertex
[3] Ph. Germain and S. Amokrane, Phys. Rev. E 100, 042614 (2019) Glass transition and reversible gelation in asymmetric binary mixtures: a study by the mode coupling theory and molecular dynamics