Title: Critical relaxation and the combined effects of spatial and temporal boundaries
Author(s):

	M. Marcuzzi (SISSA - International School for Advanced Studies and INFN, via Bonomea 265, 34136 Trieste, Italy; School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD, UK) ,
	A. Gambassi (SISSA --- International School for Advanced Studies and INFN, via Bonomea 265, 34136 Trieste, Italy)

We 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.

Key words: stochastic dynamics, boundary field theory
PACS: 64.60.De, 64.60.Ht, 68.35.Rh

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