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Critical relaxation and the combined effects of spatial and temporal boundaries

Marcuzzi, Matteo; Gambassi, Andrea

Authors

Andrea Gambassi



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), 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 http://eprints.nottingham.ac.uk/id/eprint/42031
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.nottingham.ac.uk/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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