Generic features of the fluctuation dissipation relation in coarsening systems.
The integrated response function in phase-ordering systems with scalar, vector, conserved, and nonconserved order parameter is studied at various space dimensionalities. Assuming scaling of the aging contribution chi(ag) (t, t(w) )= tw (- a(chi) ) 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 nontrivial fluctuation dissipation relation and (ii) the failure of the connection between statics and dynamics are generic features of phase ordering at d(L).
Corberi
Federico
F
Istituto Nazionale per la Fisica della Materia, Unità di Salerno and Dipartimento di Fisica "E. R. Caianiello," Università di Salerno, 84081 Baronissi (Salerno), Italy. corberi@sa.infn.it
Castellano
Claudio
C
Lippiello
Eugenio
E
Zannetti
Marco
M