Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of the linear response in simple ageing systems without disorder   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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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs