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DY: Fachverband Dynamik und Statistische Physik
DY 22: Poster: Statistical Physics
DY 22.3: Poster
Mittwoch, 19. März 2025, 10:00–12:00, P3
Nonequilibrium mixture dynamics: a model for mobilities and its consequences — •Maryam Akaberian1, Filipe C Thewes1,3, Peter Sollich1,2, and Matthias Krüger1 — 1University of Goettingen — 2King’s College London — 3Max plank institute
extending the famous model b for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. this approach is based on a single component fluid with particles that are artificially grouped into separate species labelled by “colors”. The resulting mobility matrix depends on a single dimensionless parameter, which can be determined efficiently from experimental data or numerical simulations, and includes existing standard forms as special cases. we identify two distinct mobility regimes, corresponding to collective motion and interdiffusion, respectively, and show how they emerge from the microscopic properties of the fluid. as a test scenario, we study the dynamics after a thermal quench, providing a number of general relations and analytical insights from a gaussian theory. specifically, for systems with two or three components, analytical results for the time evolution of the equal time correlation function compare well to results of Monte Carlo simulations of a lattice gas. a rich behavior is observed, including the possibility of transient fractionation.
Keywords: model b; mobility matrix; collective motion; interdiffusion; quench