Volume 77, Number 1, January 2007
Article Number 10003
Number of page(s) 6
Section General
Published online 03 January 2007
EPL, 77 (2007) 10003
DOI: 10.1209/0295-5075/77/10003

Numerical tests of local scale invariance in ageing $\mth{q}$-state Potts models

E. Lorenz and W. Janke

Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig Augustusplatz 10/11, 04109 Leipzig, Germany

received 20 April 2006; accepted in final form 7 November 2006; published January 2007
published online 3 January 2007

Much effort has been spent over the last years to achieve a coherent theoretical description of ageing as a non-linear dynamics process. Long supposed to be a consequence of the slow dynamics of glassy systems only, ageing phenomena could also be identified in the phase-ordering kinetics of simple ferromagnets. As a phenomenological approach Henkel et al. developed a group of local scale transformations under which two-time autocorrelation and response functions should transform covariantly. This work is to extend previous numerical tests of the predicted scaling functions for the Ising model by Monte Carlo simulations of two-dimensional q-state Potts models with q=3 and 8, which, in equilibrium, undergo temperature-driven phase transitions of second and first order, respectively.

05.70.Ln - Nonequilibrium and irreversible thermodynamics .
75.40.Gb - Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) .
64.60.Ht - Dynamic critical phenomena .

© Europhysics Letters Association 2007