Sub-aging in a domain growth model

Abstract. We study analytically the aging dynamics of the O(n) model in the limit of n! 1, with conserved and with non-conserved order parameter. While in the non-conserved dynamics, the autocor-relation function scales in the usual way C(t; tw) = C(t=tw), in the case of a conserved order parameter, ‘multiscaling ’ manifests itself in the form C(t; tw) = C(h(t)=h(tw)), with a relaxation time growing more slowly than the age of the system (sub-aging), and h(t) a function growing faster than any length scale of the problem. In both cases, the eective temperature associated to the violation of the fluctuation theorem tends to innity in the asymptotic limit of large waiting times. PACS. 05.70.Ln Nonequilibrium and irreversible thermodynamics { 75.40.Gb Dynamic properties (dy-namic susceptibility, spin waves, spin diusion, dynamic scaling, etc.) { 82.20.Mj Nonequilibrium kinetics