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...
Збережено в:
Дата: | 2014 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут фізики конденсованих систем НАН України
2014
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Назва видання: | Condensed Matter Physics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153579 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Critical relaxation and the combined effects of spatial and temporal boundaries / M. Marcuzzi, A. Gambassi // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33603:1-14. — Бібліогр.: 35 назв. — англ. |
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irk-123456789-1535792019-06-15T01:25:32Z Critical relaxation and the combined effects of spatial and temporal boundaries Marcuzzi, M. Gambassi, A. 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. Ми знову розглядаємо проблему колективної нерiвноважної динамiки класичної статистичної системи в критичнiй точцi i в присутностi поверхонь. Вплив порушення порiзно просторової i часової трансляцiйної iнварiантностi є добре зрозумiлим, тому тут ми зосереджуємо увагу на виникненнi нетривiальної взаємодiї мiж ними. Для цiєї мети ми розглядаємо напiвбезмежну модель з O(n)-симетрiєю i цiлковито дисипативну динамiку, пiдготовану в невпорядкованому станi, i потiм раптово заморожену до своєї критичної температури. Ми визначаємо поведiнку її функцiї вiдгуку на коротких вiдстанях в межах теорiї збурень, не спираючись на жодне припущення щодо форми цiєї величини. 2014 Article Critical relaxation and the combined effects of spatial and temporal boundaries / M. Marcuzzi, A. Gambassi // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33603:1-14. — Бібліогр.: 35 назв. — англ. 1607-324X PACS: 64.60.De, 64.60.Ht, 68.35.Rh DOI:10.5488/CMP.17.33603 arXiv:1407.6606 http://dspace.nbuv.gov.ua/handle/123456789/153579 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Marcuzzi, M. Gambassi, A. |
spellingShingle |
Marcuzzi, M. Gambassi, A. Critical relaxation and the combined effects of spatial and temporal boundaries Condensed Matter Physics |
author_facet |
Marcuzzi, M. Gambassi, A. |
author_sort |
Marcuzzi, M. |
title |
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_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_sort |
critical relaxation and the combined effects of spatial and temporal boundaries |
publisher |
Інститут фізики конденсованих систем НАН України |
publishDate |
2014 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/153579 |
citation_txt |
Critical relaxation and the combined effects of spatial and temporal boundaries / M. Marcuzzi, A. Gambassi // Condensed Matter Physics. — 2014. — Т. 17, № 3. — С. 33603:1-14. — Бібліогр.: 35 назв. — англ. |
series |
Condensed Matter Physics |
work_keys_str_mv |
AT marcuzzim criticalrelaxationandthecombinedeffectsofspatialandtemporalboundaries AT gambassia criticalrelaxationandthecombinedeffectsofspatialandtemporalboundaries |
first_indexed |
2023-05-20T17:39:41Z |
last_indexed |
2023-05-20T17:39:41Z |
_version_ |
1796153803146264576 |