Critical relaxation and the combined effects of spatial and temporal boundaries

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

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Abstract

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.

Item Type: Article
Keywords: Stochastic dynamics, Boundary field theory
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Physics and Astronomy
Identification Number: 10.5488/CMP.17.33603
Related URLs:
Depositing User: Marcuzzi, Matteo
Date Deposited: 21 Apr 2017 12:05
Last Modified: 10 May 2017 04:25
URI: http://eprints.nottingham.ac.uk/id/eprint/42031

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