Universal behaviors in granular flows and traffic flows

Details Universal behaviors in granular flows and traffic flows Universal behaviors in granular flows and traffic flows

1998-02-12

arxiv.org/abs/cond-mat/9802131v1

Physics

Condensed Matter

18 page, LaTex with two style files

Scientific paper

10.1143/PTPS.130.57

We review the current understanding on universal behaviors in granular flows through a vertical pipe and traffic flows. We carry out weakly nonlinear analysis of a model for traffic flows based on the technique of soliton perturbations, and determine the selected propagating velocity, the amplitude, the width of interfaces connecting between jam phase and non-jam phase. From the direct simulation of the model, we have confirmed the validity of our theoretical analysis. We also introduce a model for granular pipe flow supplemented by the white noise, which reproduces $P(f)\sim f^{-4/3}$, where $P(f)$ is the power spectrum in the frequency $f$.

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