Universal Behavior in Granular Flows and Traffic Flows | Zendy

Hisao Hayakawa | Zendy; Ken Nakanishi | Zendy

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Universal Behavior in Granular Flows and Traffic Flows

Author(s) -

Hisao Hayakawa,

Ken Nakanishi

Publication year - 1998

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.130.57

Subject(s) - amplitude , mechanics , physics , nonlinear system , flow (mathematics) , noise (video) , phase (matter) , white noise , traffic flow (computer networking) , power (physics) , spectral density , statistical physics , computer science , telecommunications , optics , thermodynamics , computer security , quantum mechanics , artificial intelligence , image (mathematics)

We review the current understanding on universal behaviors in granular flowsthrough a vertical pipe and traffic flows. We carry out weakly nonlinearanalysis of a model for traffic flows based on the technique of solitonperturbations, and determine the selected propagating velocity, the amplitude,the width of interfaces connecting between jam phase and non-jam phase. Fromthe direct simulation of the model, we have confirmed the validity of ourtheoretical analysis. We also introduce a model for granular pipe flowsupplemented by the white noise, which reproduces $P(f)\sim f^{-4/3}$, where$P(f)$ is the power spectrum in the frequency $f$.Comment: 18 page, LaTex with two style file

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