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Instability Saturation and Turbulent Dynamos in Shear Flows
Instability Saturation and Turbulent Dynamos in Shear Flows
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202105636
- ISBN
- 9798265435590
- DDC
- 530
- 서명/저자
- Instability Saturation and Turbulent Dynamos in Shear Flows
- 발행사항
- [Sl] : The University of Wisconsin - Madison, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 451 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
- 주기사항
- Advisor: Terry, Paul W.;Zweibel, Ellen G.
- 학위논문주기
- Thesis (Ph.D.)--The University of Wisconsin - Madison, 2025.
- 초록/해제
- 요약Instabilities in nature drive turbulence, which impedes fusion-energy gain in reactors and impacts cosmic observables such as magnetic fields and multi-messenger-astronomy signals. To understand the underlying turbulent processes, this thesis investigates two central questions: How instabilities may saturate, and how turbulence may generate astrophysical magnetic fields at large scales-a process called the dynamo. Previous efforts to address the former have relied on an energy cascade to microphysical scales and thus missed critical elements of instability-scale mode-couplings. Dynamo efforts have been frustrated because large-scale magnetic-field generation is suppressed via Alfvenization-a robust magnetohydrodynamic process that aligns fluctuations in the fluid velocity u with those in the magnetic field b, i.e., u || ± b. Addressing these challenges, this thesis develops fundamental principles of instability saturation and applies them to demonstrate a novel mechanism where Alfvenization generates magnetic fields, instead of suppressing the fields. These findings, organized in three parts, apply to shear flows driven unstable by their velocity gradients.Part I of this thesis demonstrates the new paradigm of instability saturation via stable eigenmodes. These modes spatially resemble the instability but decay exponentially in time. However, the stable modes are nonlinearly excited to significant amplitudes via mode-couplings to instability. Hence, most of the energy injected by the instability is transferred to the stable modes, which then return energy to the large-scale unstable flow, thus reducing the energy available to cascade to small scales. The stable modes sequester magnetic fields at large scales by reducing the rate-of-strain and field-line distortion. Nonlinear simulations in two dimensions without the stable modes display a splitting of otherwise merging large-scale vortices, a spreading of turbulence, and a surging of visco-resistive dissipation and momentum transport.Part II confirms the findings of Part I by considering three-dimensional turbulence. The three-dimensional (3D) stable modes are found to be more effective than the two-dimensional (2D) stable modes in transporting momentum in the direction of the large-scale flow gradient. Moreover, vortex stretching-a 3D process-is countered by the stable modes, thus transforming thin, long cylinders of vortices to thick, short cylinders. In three dimensions, the stable modes receive energy via inherently 3D zonal jets; these jets are fluctuating 3D flows that propagate in, while remaining invariant along, the direction of the large-scale 2D shear flow. In a jet-dominated system, numerical simulations validate an analytic turbulence closure model that predicts stellar spin-down rates, relevant for the solar tachocline.Part III, using 3D magnetohydrodynamic turbulence, reports the generation of magnetic fields via Alfvenization-the suppressor of the traditional dynamos. The large-scale vorticity, which traditional dynamo theories ignore, contributes here to the large-scale electromotive force. A working physical mechanism of this effect is identified, where the 3D zonal jets described in Part II interact with Alfvenized magnetic fluctuations, thereby generating large-scale, quasi-cyclic magnetic fields, consistent with astrophysical observations. This large-scale vorticity effect produces seed large-scale magnetic field, parallel to the large-scale flow, purely from small-scale flow-field correlation. Then, the large-scale cross-helicity - alignment between largescale flow and magnetic field - is transferred by turbulent stress to small scales, in a way analogous to the forward transfer of momentum and energy. Thus, the two dynamo steps cyclically reinforce each other, spontaneously magnetizing the fluid. The new dynamo mechanism explains confounding measurements of a laboratory experiment. This mechanism is also predicted to operate in binary neutron star mergers on time scales of microseconds, which in millisecond mergers can generate some of the strongest magnetic fields in the Universe.
- 일반주제명
- Physics
- 일반주제명
- Plasma physics
- 일반주제명
- Astrophysics
- 일반주제명
- Electromagnetics
- 키워드
- Dynamo
- 키워드
- Instability
- 키워드
- Plasmas
- 키워드
- Shear flows
- 키워드
- Turbulence
- 기타저자
- The University of Wisconsin - Madison Physics
- 기본자료저록
- Dissertations Abstracts International. 87-05B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
008260126s2025 us c eng d■001000017360912
■00520260202105636
■006m o d
■007cr#unu||||||||
■020 ▼a9798265435590
■035 ▼a(MiAaPQ)AAI32395107
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a530
■1001 ▼aTripathi, Bindesh.
■24510▼aInstability Saturation and Turbulent Dynamos in Shear Flows
■260 ▼a[Sl]▼bThe University of Wisconsin - Madison▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a451 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-05, Section: B.
■500 ▼aAdvisor: Terry, Paul W.;Zweibel, Ellen G.
■5021 ▼aThesis (Ph.D.)--The University of Wisconsin - Madison, 2025.
■520 ▼aInstabilities in nature drive turbulence, which impedes fusion-energy gain in reactors and impacts cosmic observables such as magnetic fields and multi-messenger-astronomy signals. To understand the underlying turbulent processes, this thesis investigates two central questions: How instabilities may saturate, and how turbulence may generate astrophysical magnetic fields at large scales-a process called the dynamo. Previous efforts to address the former have relied on an energy cascade to microphysical scales and thus missed critical elements of instability-scale mode-couplings. Dynamo efforts have been frustrated because large-scale magnetic-field generation is suppressed via Alfvenization-a robust magnetohydrodynamic process that aligns fluctuations in the fluid velocity u with those in the magnetic field b, i.e., u || ± b. Addressing these challenges, this thesis develops fundamental principles of instability saturation and applies them to demonstrate a novel mechanism where Alfvenization generates magnetic fields, instead of suppressing the fields. These findings, organized in three parts, apply to shear flows driven unstable by their velocity gradients.Part I of this thesis demonstrates the new paradigm of instability saturation via stable eigenmodes. These modes spatially resemble the instability but decay exponentially in time. However, the stable modes are nonlinearly excited to significant amplitudes via mode-couplings to instability. Hence, most of the energy injected by the instability is transferred to the stable modes, which then return energy to the large-scale unstable flow, thus reducing the energy available to cascade to small scales. The stable modes sequester magnetic fields at large scales by reducing the rate-of-strain and field-line distortion. Nonlinear simulations in two dimensions without the stable modes display a splitting of otherwise merging large-scale vortices, a spreading of turbulence, and a surging of visco-resistive dissipation and momentum transport.Part II confirms the findings of Part I by considering three-dimensional turbulence. The three-dimensional (3D) stable modes are found to be more effective than the two-dimensional (2D) stable modes in transporting momentum in the direction of the large-scale flow gradient. Moreover, vortex stretching-a 3D process-is countered by the stable modes, thus transforming thin, long cylinders of vortices to thick, short cylinders. In three dimensions, the stable modes receive energy via inherently 3D zonal jets; these jets are fluctuating 3D flows that propagate in, while remaining invariant along, the direction of the large-scale 2D shear flow. In a jet-dominated system, numerical simulations validate an analytic turbulence closure model that predicts stellar spin-down rates, relevant for the solar tachocline.Part III, using 3D magnetohydrodynamic turbulence, reports the generation of magnetic fields via Alfvenization-the suppressor of the traditional dynamos. The large-scale vorticity, which traditional dynamo theories ignore, contributes here to the large-scale electromotive force. A working physical mechanism of this effect is identified, where the 3D zonal jets described in Part II interact with Alfvenized magnetic fluctuations, thereby generating large-scale, quasi-cyclic magnetic fields, consistent with astrophysical observations. This large-scale vorticity effect produces seed large-scale magnetic field, parallel to the large-scale flow, purely from small-scale flow-field correlation. Then, the large-scale cross-helicity - alignment between largescale flow and magnetic field - is transferred by turbulent stress to small scales, in a way analogous to the forward transfer of momentum and energy. Thus, the two dynamo steps cyclically reinforce each other, spontaneously magnetizing the fluid. The new dynamo mechanism explains confounding measurements of a laboratory experiment. This mechanism is also predicted to operate in binary neutron star mergers on time scales of microseconds, which in millisecond mergers can generate some of the strongest magnetic fields in the Universe.
■590 ▼aSchool code: 0262.
■650 4▼aPhysics
■650 4▼aPlasma physics
■650 4▼aAstrophysics
■650 4▼aElectromagnetics
■653 ▼aDynamo
■653 ▼aInstability
■653 ▼aMagnetohydrodynamics
■653 ▼aPlasmas
■653 ▼aShear flows
■653 ▼aTurbulence
■690 ▼a0605
■690 ▼a0759
■690 ▼a0596
■690 ▼a0607
■71020▼aThe University of Wisconsin - Madison▼bPhysics.
■7730 ▼tDissertations Abstracts International▼g87-05B.
■790 ▼a0262
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17360912▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.


