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).
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
Federico
F
Corberi
Claudio
C
Castellano
Eugenio
E
Lippiello
Marco
M
Zannetti