Generic features of the fluctuation dissipation relation in coarsening systems
Corberi, Federico · Castellano, Claudio · Lippiello, Eugenio · Zannetti, Marco
Original · EN
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 χag (t,tw)= tw ⁻ᵃχ χ(t/tw) we obtain, by numerical simulations and analytical arguments, the phenomenological formula describing the dimensionality dependence of aχ in all cases considered. The primary result is that aχ vanishes continuously as d approaches the lower critical dimensionality dₗ. 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 dₗ.
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