Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?

Details Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems? Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?

2005-06-13

arxiv.org/abs/cond-mat/0506297v1

J. Stat. Mech (2006) P01006

Physics

Condensed Matter

Statistical Mechanics

57 pages, 5 figures

Scientific paper

10.1088/1742-5468/2006/01/P01006

We study spatio-temporal fluctuations in the non-equilibrium dynamics of the d dimensional O(N) in the large N limit. We analyse the invariance of the dynamic equations for the global correlation and response in the slow ageing regime under transformations of time. We find that these equations are invariant under scale transformations. We extend this study to the action in the dynamic generating functional finding similar results. This model therefore falls into a different category from glassy problems in which full time-reparametrisation invariance, a larger symmetry that emcompasses time scale invariance, is expected to be realised asymptotically. Consequently, the spatio-temporal fluctuations of the large N O(N) model should follow a different pattern from that of glassy systems. We compute the fluctuations of local, as well as spatially separated, two-field composite operators and responses, and we confront our results with the ones found numerically for the 3d Edwards-Anderson model and kinetically constrained lattice gases. We analyse the dependence of the fluctuations of the composite operators on the growing domain length and we compare to what has been found in super-cooled liquids and glasses. Finally, we show that the development of time-reparametrisation invariance in glassy systems is intimately related to a well-defined and finite effective temperature, specified from the modification of the fluctuation-dissipation theorem out of equilibrium. We then conjecture that the global asymptotic time-reparametrisation invariance is broken down to time scale invariance in all coarsening systems.

Affiliated with

Also associated with

No associations

Rating

Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224711