{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/85908"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/85908","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Instability Studies on a Spherical Inertial Electrostatic Confinement","abstract":"In order to evaluate the inertial electrostatic confinement concept, it is essential to develop a reliable and flexible instability analysis method for an equilibrium plasma in a potential well. Subsequently stability of this well can be studied. As a part of this study, methods are sought to avoid or suppress any destructive instabilities. Methods to be explored include modification/control of the well profile, control of the electron to ion beam density ratio, control of the angular momentum of the beam, etc. For this purpose, a perturbative (deltaf) particle simulation techniques for a kinetic analysis is applied to simulate completely the dynamic evolution of perturbed Vlasov-Poisson equations and, in addition, to achieve much more accurate simulations of the nonlinear dynamics using less simulation particles compared to conventional particle-in-cell method. This model is used to study the behavior of two-stream-like instabilities related to the trapped spherically converging ions. Results show that steady-state solutions of the self-consistent Vlasov-Poisson equation in which angular momentum of positively charged particle becomes lower correspond to the formation of a deep potential well. Also, it is shown that the growth rates are a decreasing function of angular momentum spread and an increasing function of longitudinal velocity spread.","abstract_html":"In order to evaluate the inertial electrostatic confinement concept, it is essential to develop a reliable and flexible instability analysis method for an equilibrium plasma in a potential well. Subsequently stability of this well can be studied. As a part of this study, methods are sought to avoid or suppress any destructive instabilities. Methods to be explored include modification/control of the well profile, control of the electron to ion beam density ratio, control of the angular momentum of the beam, etc. For this purpose, a perturbative (deltaf) particle simulation techniques for a kinetic analysis is applied to simulate completely the dynamic evolution of perturbed Vlasov-Poisson equations and, in addition, to achieve much more accurate simulations of the nonlinear dynamics using less simulation particles compared to conventional particle-in-cell method. This model is used to study the behavior of two-stream-like instabilities related to the trapped spherically converging ions. Results show that steady-state solutions of the self-consistent Vlasov-Poisson equation in which angular momentum of positively charged particle becomes lower correspond to the formation of a deep potential well. Also, it is shown that the growth rates are a decreasing function of angular momentum spread and an increasing function of longitudinal velocity spread.","abstract_has_math":false,"creators":["Kim, Hyung Jin"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Nuclear Engineering","degree_department":null,"school":null,"contributors":["Miley, George H."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T14:51:03Z","date_published":"2015-09-28T14:51:03Z","updated_at":"2026-07-22T22:26:26Z","subjects":["Engineering, Nuclear"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3250270"],"render_values":[{"text":"(MiAaPQ)AAI3250270","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/85908","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Miley, George H."]},{"key":"dc:creator","label":"Author","values":["Kim, Hyung Jin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T14:51:03Z","10000-01-01","2006"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Nuclear Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Nuclear"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/85908","(MiAaPQ)AAI3250270"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In order to evaluate the inertial electrostatic confinement concept, it is essential to develop a reliable and flexible instability analysis method for an equilibrium plasma in a potential well. Subsequently stability of this well can be studied. As a part of this study, methods are sought to avoid or suppress any destructive instabilities. Methods to be explored include modification/control of the well profile, control of the electron to ion beam density ratio, control of the angular momentum of the beam, etc. For this purpose, a perturbative (deltaf) particle simulation techniques for a kinetic analysis is applied to simulate completely the dynamic evolution of perturbed Vlasov-Poisson equations and, in addition, to achieve much more accurate simulations of the nonlinear dynamics using less simulation particles compared to conventional particle-in-cell method. This model is used to study the behavior of two-stream-like instabilities related to the trapped spherically converging ions. Results show that steady-state solutions of the self-consistent Vlasov-Poisson equation in which angular momentum of positively charged particle becomes lower correspond to the formation of a deep potential well. Also, it is shown that the growth rates are a decreasing function of angular momentum spread and an increasing function of longitudinal velocity spread.","Made available in DSpace on 2015-09-28T14:51:03Z (GMT). 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Subsequently stability of this well can be studied. As a part of this study, methods are sought to avoid or suppress any destructive instabilities. Methods to be explored include modification/control of the well profile, control of the electron to ion beam density ratio, control of the angular momentum of the beam, etc. For this purpose, a perturbative (deltaf) particle simulation techniques for a kinetic analysis is applied to simulate completely the dynamic evolution of perturbed Vlasov-Poisson equations and, in addition, to achieve much more accurate simulations of the nonlinear dynamics using less simulation particles compared to conventional particle-in-cell method. This model is used to study the behavior of two-stream-like instabilities related to the trapped spherically converging ions. Results show that steady-state solutions of the self-consistent Vlasov-Poisson equation in which angular momentum of positively charged particle becomes lower correspond to the formation of a deep potential well. Also, it is shown that the growth rates are a decreasing function of angular momentum spread and an increasing function of longitudinal velocity spread.","Made available in DSpace on 2015-09-28T14:51:03Z (GMT). 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