Analysis of statistical quantities in simulation of fluidized beds

Systematic simulations are carried out based on the model of fluidized beds proposed by the present authors [Phys. Rev. E 52, 658 (1995)]. In our simulation of monolayer particles, the transition of fluidization is a continuous transition. Two types of fluidized phases, the channeling phase and the bubbling phase, are observed. Our simulation suggests that the flow rate plays the role of the effective temperature and the process generating free volume is important for time-averaged statistical quantities. The flow-rate dependence of the diffusion constant suggests the existence of a kind of fluctuation-dissipation relation.