2015/03/27 by Alessandro Taloni, Yasmine Meroz, A. Huerta +1
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Autocorrelation #Displacement (psychology) #Distribution function #Dynamical heterogeneity #Glass transition #Material Dynamics and Properties #Mathematics #Mean free path #Mean squared displacement #Molecular dynamics #Optics #Phase (matter) #Phase Equilibria and Thermodynamics #Physics #Propagator #Quantum mechanics #Scattering #Statistical physics #Statistics #Supercooling #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.92.022131
arxiv created 2015/03/27 · openalex publication_date 2015/08/20 · arxiv updated 2015/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We perform extensive MD simulations of two-dimensional systems of hard disks, focusing on the collisional statistical properties. We analyze the distribution functions of velocity, free flight time, and free path length for packing fractions ranging from the fluid to the solid phase. The behaviors of the mean free flight time and path length between subsequent collisions are found to drastically change in the coexistence phase. We show that single-particle dynamical properties behave analogously in collisional and continuous-time representations, exhibiting apparent crossovers between the fluid and the solid phases. We find that, both in collisional and continuous-time representation, the mean-squared displacement, velocity autocorrelation functions, intermediate scattering functions, and self-part of the van Hove function (propagator) closely reproduce the same behavior exhibited by the corresponding quantities in granular media, colloids, and supercooled liquids close to the glass or jamming transition.