Spectral and structural stability properties of charged particle dynamics in coupled latticesa)

Qin, Hong; Chung, М.; Davidson, Ronald C.; Burby, J. W.

doi:10.1063/1.4920961

Cited by 7 publications

(8 citation statements)

References 38 publications

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“…3 and 4. It is observed that particle's orbit obtained by the GIGI2 is stable, and particle dynamics in the transverse direction is the betatron oscillation, as expected [61][62][63][64] . The error on the Hamiltonian is globally bounded by a small number for the GIGI2.…”

Section: Accelerator Fieldmentioning

confidence: 75%

Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics

Xiao

Qin

2019

Computer Physics Communications

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Symplectic schemes are powerful methods for numerically integrating Hamiltonian systems, and their long-term accuracy and fidelity have been proved both theoretically and numerically. However direct applications of standard symplectic schemes to relativistic charged particle dynamics result in implicit and electromagnetic gauge-dependent algorithms. In the present study, we develop explicit high-order gauge-independent noncanonical symplectic algorithms for relativistic charged particle dynamics using a Hamiltonian splitting method in the 8D phase space. It also shown that the developed algorithms can be derived as variational integrators by appropriately discretizing the action of the dynamics. Numerical examples are presented to verify the excellent long-term behavior of the algorithms. * Electronic address: hongqin@ustc.edu.cn

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Section: Accelerator Fieldmentioning

confidence: 75%

Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics

Xiao

Qin

2019

Computer Physics Communications

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“…It is well established in Refs. [21,22] that a one-period map has an elegant parametrization for a stable system as follows:…”

Section: Discussionmentioning

confidence: 99%

“…More recently in Refs. [21,22], Krein signature was introduced to clarify the stability properties of single-particle dynamics. An application of the Krein signature to envelope instability is newly attempted in this study.…”

Section: Introductionmentioning

confidence: 99%

Linear beam stability in periodic focusing systems: Krein signature and band structure

Chung

Cheon

Qin

2020

Nuclear Instruments and Methods in Physics Research Section A:

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The general question of how a beam becomes unstable has been one of the fundamental research topics among beam and accelerator physicists for several decades. In this study, we revisited the general problem of linear beam stability in periodic focusing systems by applying the concepts of Krein signature and band structure. We numerically calculated the eigenvalues and other associated characteristics of one-period maps, and discussed the stability properties of single-particle motions with skew quadrupoles and envelope perturbations in high-intensity beams on an equal footing.In particular, an application of the Krein theory to envelope instability analysis was newly attempted in this study.The appearance of instabilities is interpreted as the result of the collision between eigenmodes of opposite Krein signatures and the formation of a band gap. * Electronic address: mchung@unist.ac.kr arXiv:1909.08807v1 [physics.acc-ph]

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“…This is known as spontaneous PT-symmetry breaking. These eigenmode properties have been identified for applications in plasma physics and beam physics [23,24,31,[33][34][35][36].…”

Section: P T H = Hp T (25)mentioning

confidence: 99%

Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities

Qin,

Fu,

Glasser

et al. 2020

Preprint

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A method of Parity-Time (PT)-symmetry analysis is introduced to study the high dimensional, complicated parameter space of drift wave instabilities. We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG) instability of drift waves, and the collisional instability is the result of explicit PT-symmetry breaking. A new unstable drift wave induced by finite collisionality is identified. It is also found that gradients of ion temperature and density can destabilize the ion cyclotron waves when PT symmetry is explicitly broken by a finite collisionality.

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Spectral and structural stability properties of charged particle dynamics in coupled latticesa)

Cited by 7 publications

References 38 publications

Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics

Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics

Linear beam stability in periodic focusing systems: Krein signature and band structure

Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities

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