Scaling of the linear response in simple ageing systems without disorder - INSPIRE

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Scaling of the linear response in simple ageing systems without disorder

Oct, 2003

14 pages

Published in:

Phys.Rev.E 69 (2004) 056109

e-Print:

cond-mat/0310761 [cond-mat]

DOI:

10.1103/PhysRevE.69.056109

View in:

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Abstract: (arXiv)

The 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

\chi_{\rm FC}(t)-\chi_0\sim t^{-A}

where

\chi_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

\chi_{\rm ZFC}(t,s)

, but does not enter into the thermoremanent susceptibility

\rho_{\rm TRM}(t,s)

. However, there may be large finite-time corrections to the scaling of

\rho_{\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.

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