Critical relaxation and the combined effects of spatial and temporal boundaries

Marcuzzi, Matteo; Gambassi, Andrea

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.

Citation

Marcuzzi, M., & Gambassi, A. (2014). Critical relaxation and the combined effects of spatial and temporal boundaries. Condensed Matter Physics, 17(3), Article 33603. https://doi.org/10.5488/CMP.17.33603

• Journal Article Type: Article
• Acceptance Date: Jun 17, 2014
• Publication Date: Sep 22, 2014
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Condensed Matter Physics Journal
• Electronic ISSN: 1607-324X
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 3
• Article Number: 33603
• DOI: https://doi.org/10.5488/CMP.17.33603
• Keywords: Stochastic dynamics, Boundary field theory
• Public URL: https://nottingham-repository.worktribe.com/output/735541
• Publisher URL: http://www.icmp.lviv.ua/journal/zbirnyk.79/33603/abstract.html
• Related Public URLs: http://www.icmp.lviv.ua/journal/