LS Fuchs

Soft Condensed Matter

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The slow dynamical relaxation of super-cooled fluids and their transition into glasses have been the subject of much attention for many decades. Yet, full understanding of these phenomena, including fluctuation and heterogeneity effects, is still elusive. Mode-Coupling theory is a theoretical approach which studies self-consistent equations for the averaged dynamical correlation functions in terms of the static structure factor. It has proven quite successful for the description of quiescent (equilibrium) slow dynamics in glass formers, and identifies an ideal glass transition as a dynamical bifurcation in non-Markovian equations for density correlation functions. Here we propose to apply this approach for a simple lattice model, the N3 model, which has been shown in recent years (analytically and numerically) to capture many important aspects of fluctuations in super-cooled fluid dynamics. The model allows for analytical treatment and is also much easier to simulate numerically than other currently popular models. Here we set out to employ Mode-Coupling Theory to study the N3 dynamics. This will allow us to gain understanding of the cooperative processes occurring in this system, as well as the origin of the diverging dynamical length scale that appears as one approaches the jamming limit. This analysis will shed light on fundamental question related to glassiness.