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Critical relaxation and the combined effects of spatial and temporal boundaries

Marcuzzi, Matteo; Gambassi, Andrea

Authors

Andrea Gambassi gambassi@sissa.it



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.

Journal Article Type Article
Publication Date Sep 22, 2014
Journal Condensed Matter Physics Journal
Electronic ISSN 1607-324X
Peer Reviewed Peer Reviewed
Volume 17
Issue 3
Article Number 33603
APA6 Citation Marcuzzi, M., & Gambassi, A. (2014). Critical relaxation and the combined effects of spatial and temporal boundaries. Condensed Matter Physics, 17(3), https://doi.org/10.5488/CMP.17.33603
DOI https://doi.org/10.5488/CMP.17.33603
Keywords Stochastic dynamics, Boundary field theory
Publisher URL http://www.icmp.lviv.ua/journal/zbirnyk.79/33603/abstract.html
Related Public URLs http://www.icmp.lviv.ua/journal/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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