ar X iv : c on d - m at / 9 80 21 31 v 1 1 2 Fe b 19 98 1 Universal behaviors in granular flows and traffic flows Hisao Hayakawa
نویسندگان
چکیده
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) ∼ f, where P (f) is the power spectrum in the frequency f . (This paper will be published in Progress of Thoeretical Physics Supplment).
منابع مشابه
ar X iv : c on d - m at / 9 90 12 60 v 1 2 5 Ja n 19 99 Segregation of Granular Mixtures in a Rotating Drum by Sanjay Puri
We formulate a phenomenological model for the segregation of binary mixtures of rough and smooth granular materials in a rotating drum. Our model successfully replicates a range of experimental behaviours, e.g., rapid radial segregation; slow axial segregation; and nonuniform radial structure of axial bands. We present some analytical results and detailed numerical results for our model.
متن کاملar X iv : h ep - l at / 9 80 20 29 v 1 2 0 Fe b 19 98 DESY 98 - 017 February 2008 ADVANCED LATTICE
متن کامل
ar X iv : c on d - m at / 0 60 22 77 v 1 [ co nd - m at . s of t ] 1 0 Fe b 20 06 Momentum Transport in Granular Flows
We investigate the error induced by only considering binary collisions in the momentum transport of hard-sphere granular materials, as is done in kinetic theories. In this process, we first present a general microscopic derivation of the momentum transport equation and compare it to the kinetic theory derivation, which relies on the binary collision assumption. These two derivations yield diffe...
متن کاملAre There Long-Time Tails in Granular Flows?
The long-time tails in the current autocorrelation functions are one of the important characteristics in nonequilibrium physics.1), 2), 3), 4) It is known that the long tails are originated from the correlated collisions which cause anomalous transport behaviors such as the system size dependence of the transport coefficients.5), 6) The analysis of such behaviors is still an active subject in n...
متن کاملar X iv : 0 80 6 . 19 68 v 1 [ m at h . D G ] 1 1 Ju n 20 08 CURVATURE FLOWS AND CMC HYPERSURFACES
We give an overview of the existence and regularity results for curvature flows and how these flows can be used to solve some problems in geometry and physics.
متن کامل