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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Knots And Random Walks In Vibrated Granular Chains, E. Ben-Naim, Z.A. Daya, P. Vorobieff, R.E. Ecke
Knots And Random Walks In Vibrated Granular Chains, E. Ben-Naim, Z.A. Daya, P. Vorobieff, R.E. Ecke
Eli Ben-Naim
We study experimentally statistical properties of the opening times of knots in vertically vibrated granular chains. Our measurements are in good qualitative and quantitative agreement with a theoretical model involving three random walks interacting via hard core exclusion in one spatial dimension. In particular, the knot survival probability follows a universal scaling function which is independent of the chain length, with a corresponding diffusive characteristic time scale. Both the large-exit-time and the small-exit-time tails of the distribution are suppressed exponentially, and the corresponding decay coefficients are in excellent agreement with the theoretical values.
Shock-Like Dynamics Of Inelastic Gases, E. Ben-Naim, S.Y. Chen, G.D. Doolen
Shock-Like Dynamics Of Inelastic Gases, E. Ben-Naim, S.Y. Chen, G.D. Doolen
Eli Ben-Naim
No abstract provided.
Towards Granular Hydrodynamics In Two-Dimensions, E.L. Grossman, T. Zhou, E. Ben-Naim
Towards Granular Hydrodynamics In Two-Dimensions, E.L. Grossman, T. Zhou, E. Ben-Naim
Eli Ben-Naim
We study steady-state properties of inelastic gases in two-dimensions in the presence of an energy source. We generalize previous hydrodynamic treatments to situations where high and low density regions coexist. The theoretical predictions compare well with numerical simulations in the nearly elastic limit. It is also seen that the system can achieve a nonequilibrium steady-state with asymmetric velocity distributions, and we discuss the conditions under which such situations occur.