title: Collisional statistics and dynamics of two-dimensional hard-disk systems: From fluid to solid.
abstract: 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.
authors.affiliation: CNR-IENI, Via R. Cozzi 53, 20125 Milano, Italy.|Institute for Scientific Interchange (ISI), Via Alassio 11c, 10126 Turin, Italy.|Center for Complexity & Biosystems, Physics Department, University of Milan "La Statale," Via Giovanni Celoria, 16, 20133 Milano, Italy.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Taloni
authors.affiliation: School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Yasmine
authors.initials: Y
authors.lastname: Meroz
authors.affiliation: Facultad de Física, Universidad Veracruzana, Circuito Gonzálo Aguirre Beltrán s/n Zona Universitaria, Xalapa, Veracruz 91000, México.
authors.forename: Adrián
authors.initials: A
authors.lastname: Huerta