Scaling of the linear response in simple ageing systems without disorder

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dc.creatorHenkel, Malte
dc.creatorPaessens, Matthias
dc.creatorPleimling, Michel
dc.date2003-10-31
dc.date2004-02-05
dc.date.accessioned2026-07-07T06:18:59Z
dc.date.available2026-07-07T06:18:59Z
dc.descriptionThe time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below criticality is studied. A recent debate on their interpretation is resolved by showing that for systems with a short-ranged equilibrium spin-spin correlator and above their roughening temperature, the field-cooled susceptibility $χ_{\rm FC}(t)-χ_0\sim t^{-A}$ where $χ_0$ is related to the equilibrium magnetization and the exponent A is related to the time-dependent scaling of the interface width between ordered domains. The same effect also dominates the scaling of the zero-field-cooled susceptibility $χ_{\rm ZFC}(t,s)$, but does not enter into the thermoremanent susceptibility $ρ_{\rm TRM}(t,s)$. However, there may be large finite-time corrections to the scaling of $ρ_{\rm TRM}(t,s)$ which are explicitly derived and may be needed in order to extract reliable ageing exponents. Consistency with the predictions of local scale invariance is confirmed in the Glauber-Ising and spherical models.
dc.descriptionLatex2e, 14 pages, with 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0310761
dc.identifierhttp://arxiv.org/abs/cond-mat/0310761
dc.identifierPhys.Rev. E69 (2004) 056109
dc.identifierdoi:10.1103/PhysRevE.69.056109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94923
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectComputational Physics
dc.titleScaling of the linear response in simple ageing systems without disorder
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