Response theory and dynamical many body correlations for non-equilibrium transport in dense granular dynamics

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In this project, we investigated several non-equilibrium phenomena of the granular dynamics by using Event-Driven Molecular Dynamics (EDMD) algorithm and developed useful methods especially for the dense hard core systems. We have investigated the following topics; (i) Granular Turbulence from the viewpoint of Micro-scale Reynolds Number and Cluster Impact in Freely Evolving Granular Gas; (ii) Fluctuation-Dissipation Relations for Motions of Center of Mass in Driven Granular Fluid under Gravity; (iii) Generalized Bond Order Parameter to Characterize Transient Crystals; and (iv) Hard Disks Equation of State: First-Order Liquid-Hexatic Transition in Two Dimensions with Three Different Simulation Methods.