Fixed point of self-similar Lennard-Jones potentials in the glass transition
| dc.creator | Wu, Jialin | |
| dc.date | 2007-01-09 | |
| dc.date.accessioned | 2026-07-07T07:39:24Z | |
| dc.date.available | 2026-07-07T07:39:24Z | |
| dc.description | The existence of potential energy landscape in the glass transition has been theoretically proved using the recursive equation of reinforce-restraint of self-similar 8 orders of Lennard-Jones (L-J) potential fluctuations. The stability condition for fluctuation reinforce-restraint is just the Lindemann ratio that is exactly deduced as 0.1047in this paper. The origin and transfer of interface excitation comes of the balance between self-similar L-J potential fluctuation and geometric phase potential fluctuation, which also gives rise to a new attractive potential of -17/16ε_i, lower than the potential well energy -ε_i of i-th order of L-J potential, in the self-similar mean field of mean fields of different sizes. The delocalization energy of two-body is exactly the transfer energy of excited interface, and the delocalization path is along 8 orders of geodesics in topological analyses. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0701025 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0701025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/121433 | |
| dc.subject | Mathematical Physics | |
| dc.title | Fixed point of self-similar Lennard-Jones potentials in the glass transition | |
| dc.type | text |