Generic features of the fluctuation dissipation relation in coarsening systems

Corberi, Federico; Castellano, C.; Lippiello, E.; Zannetti, Marco

doi:10.1103/PhysRevE.70.017103

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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:	CORBERI, Federico C. CASTELLANO E. LIPPIELLO ZANNETTI, Marco mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2004
Rivista:	PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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

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