Universality beyond power laws and the average avalanche shape
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/45042 |
Resumo: | The study of critical phenomena and universal power laws has been one of the central advances in statistical mechanics during the second half of the past century, explaining traditional thermodynamic critical points1, avalanche behaviour near depinning transitions2,3 and a wide variety of other phenomena4. Scaling, universality and the renormalization group claim to predict all behaviour at long length and timescales asymptotically close to critical points. In most cases, the comparison between theory and experiments has been limited to the evaluation of the critical exponents of the power-law distributions predicted at criticality. An excellent area for investigating scaling phenomena is provided by systems exhibiting crackling noise, such as the Barkhausen effect in ferromagnetic materials5. Here we go beyond powerlaw scaling and focus on the average functional form of the noise emitted by avalanches—the average temporal avalanche shape4. By analysing thin permalloy films and improving the data analysis methods, our experiments become quantitatively consistent with our calculation for the multivariable scaling function in the presence of a demagnetizing field and finite field-ramp rate |
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Papanikolaou, StefanosBohn, FelipeSommer, Rubens LuisDurin, GianfrancoZapperi, StefanoSethna, James P.2021-11-26T16:44:08Z2021-11-26T16:44:08Z2011-01-23PAPANIKOLAOU, Stefanos; BOHN, Felipe; SOMMER, Rubem Luis; DURIN, Gianfranco; ZAPPERI, Stefano; SETHNA, James P.. Universality beyond power laws and the average avalanche shape. Nature Physics, [S.l.], v. 7, n. 4, p. 316-320, 23 jan. 2011. Springer Science and Business Media LLC. Disponível em: https://www.nature.com/articles/nphys1884. Acesso em 24 mai. 2020. DOI: http://dx.doi.org/10.1038/nphys1884.1745-24811745-2473https://repositorio.ufrn.br/handle/123456789/4504210.1038/nphys1884The study of critical phenomena and universal power laws has been one of the central advances in statistical mechanics during the second half of the past century, explaining traditional thermodynamic critical points1, avalanche behaviour near depinning transitions2,3 and a wide variety of other phenomena4. Scaling, universality and the renormalization group claim to predict all behaviour at long length and timescales asymptotically close to critical points. In most cases, the comparison between theory and experiments has been limited to the evaluation of the critical exponents of the power-law distributions predicted at criticality. An excellent area for investigating scaling phenomena is provided by systems exhibiting crackling noise, such as the Barkhausen effect in ferromagnetic materials5. Here we go beyond powerlaw scaling and focus on the average functional form of the noise emitted by avalanches—the average temporal avalanche shape4. By analysing thin permalloy films and improving the data analysis methods, our experiments become quantitatively consistent with our calculation for the multivariable scaling function in the presence of a demagnetizing field and finite field-ramp rateThe study of critical phenomena and universal power laws has been one of the central advances in statistical mechanics during the second half of the past century, explaining traditional thermodynamic critical points1, avalanche behaviour near depinning transitions2,3 and a wide variety of other phenomena4. Scaling, universality and the renormalization group claim to predict all behaviour at long length and timescales asymptotically close to critical points. In most cases, the comparison between theory and experiments has been limited to the evaluation of the critical exponents of the power-law distributions predicted at criticality. An excellent area for investigating scaling phenomena is provided by systems exhibiting crackling noise, such as the Barkhausen effect in ferromagnetic materials5. Here we go beyond powerlaw scaling and focus on the average functional form of the noise emitted by avalanches—the average temporal avalanche shape4. By analysing thin permalloy films and improving the data analysis methods, our experiments become quantitatively consistent with our calculation for the multivariable scaling function in the presence of a demagnetizing field and finite field-ramp rateSpringer NatureTraditional thermodynamicAvalanche behaviourDepinning transitionsUniversality beyond power laws and the average avalanche shapeinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALUniversalityBeyondPowerLawsAndTheAverage_2011.pdfUniversalityBeyondPowerLawsAndTheAverage_2011.pdfArtigoapplication/pdf698532https://repositorio.ufrn.br/bitstream/123456789/45042/1/UniversalityBeyondPowerLawsAndTheAverage_2011.pdf7418d03580e21571308a21ea57a27907MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/45042/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52123456789/450422021-11-26 13:44:09.156oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2021-11-26T16:44:09Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Universality beyond power laws and the average avalanche shape |
title |
Universality beyond power laws and the average avalanche shape |
spellingShingle |
Universality beyond power laws and the average avalanche shape Papanikolaou, Stefanos Traditional thermodynamic Avalanche behaviour Depinning transitions |
title_short |
Universality beyond power laws and the average avalanche shape |
title_full |
Universality beyond power laws and the average avalanche shape |
title_fullStr |
Universality beyond power laws and the average avalanche shape |
title_full_unstemmed |
Universality beyond power laws and the average avalanche shape |
title_sort |
Universality beyond power laws and the average avalanche shape |
author |
Papanikolaou, Stefanos |
author_facet |
Papanikolaou, Stefanos Bohn, Felipe Sommer, Rubens Luis Durin, Gianfranco Zapperi, Stefano Sethna, James P. |
author_role |
author |
author2 |
Bohn, Felipe Sommer, Rubens Luis Durin, Gianfranco Zapperi, Stefano Sethna, James P. |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Papanikolaou, Stefanos Bohn, Felipe Sommer, Rubens Luis Durin, Gianfranco Zapperi, Stefano Sethna, James P. |
dc.subject.por.fl_str_mv |
Traditional thermodynamic Avalanche behaviour Depinning transitions |
topic |
Traditional thermodynamic Avalanche behaviour Depinning transitions |
description |
The study of critical phenomena and universal power laws has been one of the central advances in statistical mechanics during the second half of the past century, explaining traditional thermodynamic critical points1, avalanche behaviour near depinning transitions2,3 and a wide variety of other phenomena4. Scaling, universality and the renormalization group claim to predict all behaviour at long length and timescales asymptotically close to critical points. In most cases, the comparison between theory and experiments has been limited to the evaluation of the critical exponents of the power-law distributions predicted at criticality. An excellent area for investigating scaling phenomena is provided by systems exhibiting crackling noise, such as the Barkhausen effect in ferromagnetic materials5. Here we go beyond powerlaw scaling and focus on the average functional form of the noise emitted by avalanches—the average temporal avalanche shape4. By analysing thin permalloy films and improving the data analysis methods, our experiments become quantitatively consistent with our calculation for the multivariable scaling function in the presence of a demagnetizing field and finite field-ramp rate |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011-01-23 |
dc.date.accessioned.fl_str_mv |
2021-11-26T16:44:08Z |
dc.date.available.fl_str_mv |
2021-11-26T16:44:08Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
PAPANIKOLAOU, Stefanos; BOHN, Felipe; SOMMER, Rubem Luis; DURIN, Gianfranco; ZAPPERI, Stefano; SETHNA, James P.. Universality beyond power laws and the average avalanche shape. Nature Physics, [S.l.], v. 7, n. 4, p. 316-320, 23 jan. 2011. Springer Science and Business Media LLC. Disponível em: https://www.nature.com/articles/nphys1884. Acesso em 24 mai. 2020. DOI: http://dx.doi.org/10.1038/nphys1884. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/45042 |
dc.identifier.issn.none.fl_str_mv |
1745-2481 1745-2473 |
dc.identifier.doi.none.fl_str_mv |
10.1038/nphys1884 |
identifier_str_mv |
PAPANIKOLAOU, Stefanos; BOHN, Felipe; SOMMER, Rubem Luis; DURIN, Gianfranco; ZAPPERI, Stefano; SETHNA, James P.. Universality beyond power laws and the average avalanche shape. Nature Physics, [S.l.], v. 7, n. 4, p. 316-320, 23 jan. 2011. Springer Science and Business Media LLC. Disponível em: https://www.nature.com/articles/nphys1884. Acesso em 24 mai. 2020. DOI: http://dx.doi.org/10.1038/nphys1884. 1745-2481 1745-2473 10.1038/nphys1884 |
url |
https://repositorio.ufrn.br/handle/123456789/45042 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.publisher.none.fl_str_mv |
Springer Nature |
publisher.none.fl_str_mv |
Springer Nature |
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