Local scale-invariance and ageing in noisy systems
| dc.creator | Picone, Alan | |
| dc.creator | Henkel, Malte | |
| dc.date | 2004-02-06 | |
| dc.date | 2004-04-16 | |
| dc.date.accessioned | 2026-07-25T23:01:32Z | |
| dc.description | The influence of the noise on the long-time ageing dynamics of a quenched ferromagnetic spin system with a non-conserved order parameter and described through a Langevin equation with a thermal noise term and a disordered initial state is studied. If the noiseless part of the system is Galilei-invariant and scale-invariant with dynamical exponent z=2, the two-time linear response function is independent of the noise and therefore has exactly the form predicted from the local scale-invariance of the noiseless part. The two-time correlation function is exactly given in terms of certain noiseless three- and four-point response functions. An explicit scaling form of the two-time autocorrelation function follows. For disordered initial states, local scale-invariance is sufficient for the equality of the autocorrelation and autoresponse exponents in phase-ordering kinetics. The results for the scaling functions are confirmed through tests in the kinetic spherical model, the spin-wave approximation of the XY model, the critical voter model and the free random walk. | |
| dc.description | Latex2e, 45 pages, no figures, final form | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0402196 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0402196 | |
| dc.identifier | Nucl.Phys. B688 (2004) 217-265 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2004.03.028 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/94766 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Local scale-invariance and ageing in noisy systems | |
| dc.type | text |