Articles in peer-reviewed journals
| Autocorrelation functions in phase-ordering kinetics from local scale-invariance |
| Henkel M., Baumann F. |
| J. Stat. Mech. (2007) P07015 |
| DOI : 10.1088/1742-5468/2007/07/P07015 |
| ArXiv : cond-mat/0703226 [PDF] |
The explicit calculation of the scaling form of the two-time autocorrelation function in phase-ordering kinetics and in those cases of non-equilibrium critical dynamics where the dynamical exponent z=2 through the extension of dynamical scaling to local scale-invariance is reviewed. Conceptually, this mainly requires an extension from the usually considered d-dimensional ageing or Schr\"odinger algebras to a new kind of representation of the conformal algebra in d+2 dimensions. Explicit tests in several exactly solved models of simple magnets and through simulations in the 2D Ising and q-states Potts models (q=2,3,8) quenched to T |