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))=t(w)(chi)(-a)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).
Titolo: | Generic features of the fluctuation dissipation relation in coarsening systems |
Autori: | |
Data di pubblicazione: | 2004 |
Rivista: | |
Abstract: | 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))=t(w)(chi)(-a)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). |
Handle: | http://hdl.handle.net/11386/1064362 |
Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |