| Full text | |
| Author(s): |
Fontes‚ LR
;
Isopi‚ M.
;
Newman‚ CM
;
Stein‚ DL
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Physical Review Letters; v. 87, n. 11, p. 110201, 2001. |
| Abstract | |
We derive exact expressions for a number of aging functions that are scaling limits of nonequilibrium correlations, R(t(w), t(w) + t) as t(w) --> infinity, t/t(w) --> theta, in the 1D homogenous q-state Potts model for all q with T = 0 dynamics following a quench from T = infinity. One such quantity is [<(<sigma>)over right arrow>(0)(t(w)) . <(<sigma>)over right arrow>(n)(t(w) + t)] when n/root(t(w)) over bar --> z. Exact, closed-form expressions are also obtained when an interlude of T = infinity dynamics occurs. Our derivations express the scaling limit via coalescing Brownian paths and a "Brownian space-time spanning tree," which also yields other aging functions, such as the persistence probability of no spin flip at 0 between t(w) and t(w) + t. (AU) | |
| FAPESP's process: | 99/11962-9 - Critical Phenomena in envolving processes and equilibrium systems |
| Grantee: | Pablo Augusto Ferrari |
| Support Opportunities: | Research Projects - Thematic Grants |