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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Бібліографічні деталі
Дата:2014
Автори: Marcuzzi, M., Gambassi, A.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2014
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
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