Malte Henkel - Université de Lorraine Nancy #
Slow relaxation and ageing in surface growth phenomena #
Ageing phenomena have since a long time been studied, first in several 
kinds of glassy systems, later on also in more
simple systems undergoing cooperative phenomena, such as simple magnets 
without disorder nor frustrations. The ageing behaviour is seen through 
an analysis of the two-time correlations and responses. 
This allows to characterize physical ageing 
through its three defining properties of (i) slow relaxational dynamics, 
(ii) breaking of time-transltion-invariance and (iii) dynamical scaling.
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Here, the dynamics of surface growth will be analysed through the 
scaling properties of its two-time observables,
where the Edwards-Wilkinson and Kardar-Parisi-Zhang equations will serve 
as paradigmatic examples.
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Specific forms of the fluctuation-dissipation theorem along with 
consequences for the dynamical scaling will be discussed. The scaling of 
height and width profiles in semi-infinite systems will be presented in detail.
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A new variant of the spherical model of ferromagnets, adapted to surface 
growth, will be presented and its relation to spherical spin glasses 
will be derived.
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[1] M. Henkel, J.D. Noh, M. Pleimling, Phys. Rev. E 85 030102(R) 
(2012); [arxiv:1109.5022]
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[2] N. Allegra, J.-Y. Fortin, M. Henkel, J. Stat. Mech. P02018 (2014); 
[arxiv:1309.1634]
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[3] M. Henkel, M. Pleimling, "Non-equilibrium phase transitions, vol. 2:
Ageing and dynamical scaling far from equilibrium", Springer (Heidelberg 2010)