The onset of jamming as the sudden emergence of an infinite $k$-core cluster
| dc.creator | Schwarz, J. M. | |
| dc.creator | Liu, A. J. | |
| dc.creator | Chayes, L. Q. | |
| dc.date | 2004-10-25 | |
| dc.date | 2005-11-02 | |
| dc.date.accessioned | 2026-07-07T06:37:19Z | |
| dc.date.available | 2026-07-07T06:37:19Z | |
| dc.description | A theory is constructed to describe the zero-temperature jamming transition as the density of repulsive soft spheres is increased. Local mechanical stability imposes a constraint on the minimum number of bonds per particle; we argue that this constraint suggests an analogy to $k$-core percolation. The latter model can be solved exactly on the Bethe lattice, and the resulting transition has a mixed first-order/continuous character. The exponents characterizing the continuous part appear to be the same as for the jamming transition. Finally, numerical simulations suggest that in finite dimensions the $k$-core transition can be discontinuous with a nontrivial diverging correlation length. | |
| dc.description | 5 pages; new k-core with "force balance" model introduced replacing directed k-core model (where anisotropic scaling was not taken into account) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0410595 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0410595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100350 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | The onset of jamming as the sudden emergence of an infinite $k$-core cluster | |
| dc.type | text |