Generic features of the fluctuation dissipation relation in coarsening systems

Abstract

The integrated response function in phase-ordering systems with scalar, vector, conserved and non conserved order parameter is studied at various space dimensionalities. Assuming scaling of the aging contribution ${\chi }_{ag}(t,t_w)=t_w^{-a_{\chi }}\hat{\chi }(t/t_w)$ we obtain, by numerical simulations and analytical arguments, the phenomenological formula describing the dimensionality dependence of $a_{\chi }$ in all cases considered. The primary result is that $a_{\chi }$ vanishes continuously as $d$ approaches the lower critical dimensionality $d_L$. This implies that i) the existence of a non trivial fluctuation dissipation relation and ii) the failure of the connection between statics and dynamics are generic features of phase ordering at $d_L$.

6 pages, 5 figures

References in corpus (1)

• Scaling of the linear response in simple ageing systems without disorder