Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak

Detalhes bibliográficos
Autor(a) principal: Martim Zurita
Data de Publicação: 2022
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações da USP
Texto Completo: https://doi.org/10.11606/D.43.2022.tde-04042022-130632
Resumo: In toroidal devices known as tokamaks, high-temperature plasmas are confined by intense magnetic fields. Nevertheless, this confinement is deteriorated by turbulence at the edge of the devices. This turbulence has an intermittent behavior with the presence of high-amplitude bursts. To describe local measurements of density with bursts, a stochastic pulse train model (SPTM) has been developed since the last decade. For such a model, different categories of background signals have been considered in the literature, namely, backgrounds with Gaussian noises (correlated and uncorrelated) or with small-amplitude pulses. However, until now these models with different background signals weren\'t simultaneously compared to an experiment. Moreover, there isn\'t a fitting method for the SPTM that can evaluate all its parameters in a unified and objective way. The present dissertation aims to fulfill these two gaps. Having created the SPTM fit, we applied it to the TCABR tokamak. For this analysis, we utilized measurements of ion saturation current, a signal proportional to the local plasma density. In addition, we introduced to the context of the SPTM two non-linear tools: the complexity-entropy diagram and the determinism from recurrence quantification analysis. With them and the frequency spectrum, we concluded that, for the analyzed experiment, the model with a pulse background described the structure of plasma density fluctuations better than the models with Gaussian noise.
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spelling info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak Modelo estocástico de flutuações turbulentas de plasma aplicado ao tokamak TCABR 2022-03-08Zwinglio de Oliveira Guimarães FilhoDennis Lozano ToufenRicardo Luiz VianaMartim ZuritaUniversidade de São PauloFísicaUSPBR corrente de saturação iônica electrostatic turbulence física de plasmas ion saturation current modelagem estocástica plasma physics stochastic modeling tokamaks tokamaks turbulência eletrostática In toroidal devices known as tokamaks, high-temperature plasmas are confined by intense magnetic fields. Nevertheless, this confinement is deteriorated by turbulence at the edge of the devices. This turbulence has an intermittent behavior with the presence of high-amplitude bursts. To describe local measurements of density with bursts, a stochastic pulse train model (SPTM) has been developed since the last decade. For such a model, different categories of background signals have been considered in the literature, namely, backgrounds with Gaussian noises (correlated and uncorrelated) or with small-amplitude pulses. However, until now these models with different background signals weren\'t simultaneously compared to an experiment. Moreover, there isn\'t a fitting method for the SPTM that can evaluate all its parameters in a unified and objective way. The present dissertation aims to fulfill these two gaps. Having created the SPTM fit, we applied it to the TCABR tokamak. For this analysis, we utilized measurements of ion saturation current, a signal proportional to the local plasma density. In addition, we introduced to the context of the SPTM two non-linear tools: the complexity-entropy diagram and the determinism from recurrence quantification analysis. With them and the frequency spectrum, we concluded that, for the analyzed experiment, the model with a pulse background described the structure of plasma density fluctuations better than the models with Gaussian noise. Em dispositivos toroidais conhecidos como tokamaks, plasmas com temperaturas solares são confinados por intensos campos magnéticos. Esse confinamento, todavia, é deteriorado pela turbulência na borda dos dispositivos. Essa turbulência possui um comportamento intermitente marcado pela presença de rajadas de alta amplitude, denominadas como bursts. Para descrever medidas locais de densidade com bursts, um modelo estocástico de trem de pulsos (METP) vem sendo desenvolvido desde a última década. Para tal modelo, foram considerados na literatura diferentes categorias de sinais de fundo, a saber, fundos com diferentes ruídos gaussianos (descorrelacionados e correlacionados) ou com pulsos de pequena amplitude. Entretanto, até o momento esses sinais de fundo não foram comparados simultaneamente a um sinal experimental. Além disso, ainda não há um método de ajuste para o METP que obtenha todos os seus parâmetros de forma unificada e objetiva. A presente dissertação almeja preencher essas duas lacunas. Criado o ajuste do METP, o aplicamos para o tokamak TCABR. Para tal análise, utilizamos medidas de corrente de saturação iônica, um sinal proporcional a densidade local do plasma. Adicionalmente, introduzimos para o contexto do METP duas ferramentas não lineares: o diagrama de complexidade-entropia e o determinismo da análise de recorrência. Com elas e com o espectro de potência, concluímos que, para o experimento analisado, o modelo com fundo de pulsos descreveu a estrutura de flutuações de densidade melhor do que os modelos com ruído gaussiano. https://doi.org/10.11606/D.43.2022.tde-04042022-130632info:eu-repo/semantics/openAccessengreponame:Biblioteca Digital de Teses e Dissertações da USPinstname:Universidade de São Paulo (USP)instacron:USP2023-12-21T18:10:56Zoai:teses.usp.br:tde-04042022-130632Biblioteca Digital de Teses e Dissertaçõeshttp://www.teses.usp.br/PUBhttp://www.teses.usp.br/cgi-bin/mtd2br.plvirginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.bropendoar:27212023-12-22T12:06:10.354723Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)false
dc.title.en.fl_str_mv Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
dc.title.alternative.pt.fl_str_mv Modelo estocástico de flutuações turbulentas de plasma aplicado ao tokamak TCABR
title Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
spellingShingle Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
Martim Zurita
title_short Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
title_full Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
title_fullStr Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
title_full_unstemmed Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
title_sort Stochastic modeling of turbulent plasma fluctuations applied to the TCABR tokamak
author Martim Zurita
author_facet Martim Zurita
author_role author
dc.contributor.advisor1.fl_str_mv Zwinglio de Oliveira Guimarães Filho
dc.contributor.referee1.fl_str_mv Dennis Lozano Toufen
dc.contributor.referee2.fl_str_mv Ricardo Luiz Viana
dc.contributor.author.fl_str_mv Martim Zurita
contributor_str_mv Zwinglio de Oliveira Guimarães Filho
Dennis Lozano Toufen
Ricardo Luiz Viana
description In toroidal devices known as tokamaks, high-temperature plasmas are confined by intense magnetic fields. Nevertheless, this confinement is deteriorated by turbulence at the edge of the devices. This turbulence has an intermittent behavior with the presence of high-amplitude bursts. To describe local measurements of density with bursts, a stochastic pulse train model (SPTM) has been developed since the last decade. For such a model, different categories of background signals have been considered in the literature, namely, backgrounds with Gaussian noises (correlated and uncorrelated) or with small-amplitude pulses. However, until now these models with different background signals weren\'t simultaneously compared to an experiment. Moreover, there isn\'t a fitting method for the SPTM that can evaluate all its parameters in a unified and objective way. The present dissertation aims to fulfill these two gaps. Having created the SPTM fit, we applied it to the TCABR tokamak. For this analysis, we utilized measurements of ion saturation current, a signal proportional to the local plasma density. In addition, we introduced to the context of the SPTM two non-linear tools: the complexity-entropy diagram and the determinism from recurrence quantification analysis. With them and the frequency spectrum, we concluded that, for the analyzed experiment, the model with a pulse background described the structure of plasma density fluctuations better than the models with Gaussian noise.
publishDate 2022
dc.date.issued.fl_str_mv 2022-03-08
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.11606/D.43.2022.tde-04042022-130632
url https://doi.org/10.11606/D.43.2022.tde-04042022-130632
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade de São Paulo
dc.publisher.program.fl_str_mv Física
dc.publisher.initials.fl_str_mv USP
dc.publisher.country.fl_str_mv BR
publisher.none.fl_str_mv Universidade de São Paulo
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da USP
instname:Universidade de São Paulo (USP)
instacron:USP
instname_str Universidade de São Paulo (USP)
instacron_str USP
institution USP
reponame_str Biblioteca Digital de Teses e Dissertações da USP
collection Biblioteca Digital de Teses e Dissertações da USP
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações da USP - Universidade de São Paulo (USP)
repository.mail.fl_str_mv virginia@if.usp.br|| atendimento@aguia.usp.br||virginia@if.usp.br
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