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 $d_L$.

arXiv comment6 pages, 5 figures

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Cited by in corpus (20)

• Ageing Properties of Critical Systems
• Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function
• Fluctuation-Dissipation relations far from Equilibrium
• Growth Law and Superuniversality in the Coarsening of Disordered Ferromagnets
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• Comment on "Scaling of the linear response in simple aging systems without disorder"
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• Fluctuations of two-time quantities and non-linear response functions
• Heat exchanges in coarsening systems
• Condensation and equilibration in an urn model
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Effects of Frustration on Fluctuation-dissipation Relations