Power-Law Behaviors in Nonlinearly Coupled Granular Chain under Gravity
| dc.creator | Hong, Jongbae | |
| dc.creator | Kim, Heekyong | |
| dc.date | 1998-08-21 | |
| dc.date.accessioned | 2026-07-07T05:43:26Z | |
| dc.date.available | 2026-07-07T05:43:26Z | |
| dc.description | We find power-law behaviors of grain velocity in both propagation and backscattering in a gravitationally compacted granular chain with nonlinear contact force. We focus on the leading peak of the velocity signal which decreases in a power-law $d^{-α}$, where $d$ is the location of the peak, as the signal goes down. The ratio of backscattered to incident leading velocity also follows a power-law $d_i^{-β}$, where $d_i$ is the depth of impurity. The up-going backscattered signal is nearly solitary. Therefore, the overall change of the leading velocity peak is given by the power-law $d_i^{-(α+β)}$. We find $α=0.250$ and $β=0.167$ for the Hertzian contact force. | |
| dc.description | 10 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9808008 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9808008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83305 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Power-Law Behaviors in Nonlinearly Coupled Granular Chain under Gravity | |
| dc.type | text |