Critical relaxation and the combined effects of spatial and temporal boundariesTools Marcuzzi, Matteo and Gambassi, Andrea (2014) Critical relaxation and the combined effects of spatial and temporal boundaries. Condensed Matter Physics Journal, 17 (3). 33603/1-33603/14. ISSN 1607-324X Full text not available from this repository.AbstractWe revisit here the problem of the collective non-equilibrium dynamics of a classical statistical system at a critical point and in the presence of surfaces. The effects of breaking separately space- and time-translational invariance are well understood, hence we focus here on the emergence of a non-trivial interplay between them. For this purpose, we consider a semi-infinite model with O(n)-symmetry and purely dissipative dynamics which is prepared in a disordered state and then suddenly quenched to its critical temperature. We determine the short-distance behaviour of its response function within a perturbative approach which does not rely on any a priori assumption on the scaling form of this quantity.
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