Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
| dc.creator | Mayer, Peter | |
| dc.creator | Berthier, Ludovic | |
| dc.creator | Garrahan, Juan P. | |
| dc.creator | Sollich, Peter | |
| dc.date | 2003-01-24 | |
| dc.date.accessioned | 2026-07-07T02:49:21Z | |
| dc.date.available | 2026-07-07T02:49:21Z | |
| dc.description | We investigate the relation between two-time, multi-spin, correlation and response functions in the non-equilibrium critical dynamics of Ising models in d=1 and d=2 spatial dimensions. In these non-equilibrium situations, the fluctuation-dissipation theorem (FDT) is not satisfied. We find FDT `violations' qualitatively similar to those reported in various glassy materials, but quantitatively dependent on the chosen observable, in contrast to the results obtained in infinite-range glass models. Nevertheless, all FDT violations can be understood by considering separately the contributions from large wavevectors, which are at quasi-equilibrium and obey FDT, and from small wavevectors where a generalized FDT holds with a non-trivial limit fluctuation-dissipation ratio X. In d=1, we get X = 1/2 for spin observables, which measure the orientation of domains, while X = 0 for observables that are sensitive to the domain-wall motion. Numerical simulations in d=2 reveal a unique X = 0.34 for all observables. Measurement protocols for X are discussed in detail. Our results suggest that the definition of an effective temperature Teff = T / X for large length scales is generically possible in non-equilibrium critical dynamics. | |
| dc.description | 26 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301493 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301493 | |
| dc.identifier | Phys. Rev. E 68, 016116 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.68.016116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20760 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models | |
| dc.type | text |