Critical relaxation and the combined effects of spatial and temporal boundaries
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...
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| Format: | Article |
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Institute for Condensed Matter Physics
2014
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| Online Access: | https://eprints.nottingham.ac.uk/42031/ |
| _version_ | 1848796402502598656 |
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| author | Marcuzzi, Matteo Gambassi, Andrea |
| author_facet | Marcuzzi, Matteo Gambassi, Andrea |
| author_sort | Marcuzzi, Matteo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:47:25Z |
| format | Article |
| id | nottingham-42031 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:25Z |
| publishDate | 2014 |
| publisher | Institute for Condensed Matter Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-420312020-05-04T16:53:41Z https://eprints.nottingham.ac.uk/42031/ Critical relaxation and the combined effects of spatial and temporal boundaries Marcuzzi, Matteo Gambassi, Andrea 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. Institute for Condensed Matter Physics 2014-09-22 Article PeerReviewed 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 Stochastic dynamics Boundary field theory http://www.icmp.lviv.ua/journal/zbirnyk.79/33603/abstract.html doi:10.5488/CMP.17.33603 doi:10.5488/CMP.17.33603 |
| spellingShingle | Stochastic dynamics Boundary field theory Marcuzzi, Matteo Gambassi, Andrea Critical relaxation and the combined effects of spatial and temporal boundaries |
| title | Critical relaxation and the combined effects of spatial and temporal boundaries |
| title_full | Critical relaxation and the combined effects of spatial and temporal boundaries |
| title_fullStr | Critical relaxation and the combined effects of spatial and temporal boundaries |
| title_full_unstemmed | Critical relaxation and the combined effects of spatial and temporal boundaries |
| title_short | Critical relaxation and the combined effects of spatial and temporal boundaries |
| title_sort | critical relaxation and the combined effects of spatial and temporal boundaries |
| topic | Stochastic dynamics Boundary field theory |
| url | https://eprints.nottingham.ac.uk/42031/ https://eprints.nottingham.ac.uk/42031/ https://eprints.nottingham.ac.uk/42031/ |