Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain
| dc.creator | Sollich, Peter | |
| dc.creator | Evans, Martin R | |
| dc.date | 1999-04-09 | |
| dc.date | 1999-09-23 | |
| dc.date.accessioned | 2026-07-07T03:13:13Z | |
| dc.date.available | 2026-07-07T03:13:13Z | |
| dc.description | We analyse the out of equilibrium behavior of an Ising spin chain with an asymmetric kinetic constraint after a quench to a low temperature T. In the limit T\to 0, we provide an exact solution of the resulting coarsening process. The equilibration time exhibits a `glassy' divergence \teq=\exp(const/T^2) (popular as an alternative to the Vogel-Fulcher law), while the average domain length grows with a temperature dependent exponent, \dbar ~ t^{T\ln 2}. We show that the equilibration time \teq also sets the timescale for the linear response of the system at low temperatures. | |
| dc.description | 4 pages, revtex, includes two eps figures. Proof of energy barrier hierarchy added. Version to be published in Phys Rev Lett | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9904136 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9904136 | |
| dc.identifier | Phys. Rev. Lett 83, 3238 (1999) | |
| dc.identifier | doi:10.1103/PhysRevLett.83.3238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29216 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Glassy timescale divergence and anomalous coarsening in a kinetically constrained spin chain | |
| dc.type | text |