3D multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams for heavy ion fusion

Qin, Hong; Davidson, Ronald C.; Lee, W.Wei-li; Kolesnikov, R. A.

doi:10.1016/s0168-9002(01)00713-6

Cited by 26 publications

(12 citation statements)

References 15 publications

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“…For example, we cannot take the exact energy-momentum equations (19) and (20), and approximate E by −∇φ and B by B 0 to obtain the exact energy-momentum conservation law for the KP system, even though the conservation law obtained this way could be an approximate one for the KP system. The existence of exact local conservation laws is a necessary condition for the models to be theoretically well posed and for the validity of particle simulations based on the KP or KD systems [10].…”

Section: ∂ ∂Tmentioning

confidence: 99%

Field theory and weak Euler-Lagrange equation for classical particle-field systems

2014

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It is commonly believed as a fundamental principle that energy-momentum conservation of a physical system is the result of space-time symmetry. However, for classical particle-field systems, e.g., charged particles interacting through self-consistent electromagnetic or electrostatic fields, such a connection has only been cautiously suggested. It has not been formally established. The difficulty is due to the fact that the dynamics of particles and the electromagnetic fields reside on different manifolds. We show how to overcome this difficulty and establish the connection by generalizing the Euler-Lagrange equation, the central component of a field theory, to a so-called weak form. The weak Euler-Lagrange equation induces a new type of flux, called the weak Euler-Lagrange current, which enters conservation laws. Using field theory together with the weak Euler-Lagrange equation developed here, energy-momentum conservation laws that are difficult to find otherwise can be systematically derived from the underlying space-time symmetry.

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Section: ∂ ∂Tmentioning

confidence: 99%

Field theory and weak Euler-Lagrange equation for classical particle-field systems

2014

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“…A variety of models have been developed to simulate the space-charge effects [1][2][3][4][5][6][7][8][9][10][11][12][13]. Among those models, the particle-in-cell (PIC) model is probably the most widely used model in the accelerator community.…”

Section: Introductionmentioning

confidence: 99%

Symplectic particle-in-cell model for space-charge beam dynamics simulation

Qiang

2018

Phys. Rev. Accel. Beams

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Space-charge effects play an important role in high intensity particle accelerators and were studied using a variety of macroparticle tracking models. In this paper, we propose a symplectic particle-in-cell (PIC) model and compare this model with a recently published symplectic gridless particle model and a conventional nonsymplectic PIC model for long-term space-charge simulation of a coasting beam. Using the same step size and the same number of modes for the space-charge Poisson solver, all three models show qualitatively similar emittance growth evolutions and final phase space shapes in the benchmark examples. Quantitatively, the symplectic PIC and the symplectic gridless particle models agree with each other very well, while the nonsymplectic PIC model yields different emittance growth value. Using finer step size, the emittance growth from the nonsymplectic PIC converges towards that from the symplectic PIC model.

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“…The instability was then linked to the one investigated by Harris [17] for plasmas with anisotropy in velocity distribution. These findings and many related fine papers published afterward [18][19][20][21][22][23][24][25][26][27][28][29] mark success in exploring the intense beam stability. However, to date, the rigorous three-dimensional stability analysis based on the kinetic theory is still left in an incomplete stage and further progress remains to be pursued.…”

Section: Introductionmentioning

confidence: 75%

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

Wang

2004

Phys. Rev. ST Accel. Beams

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This work is a three-dimensional stability study based on the modal analysis for a continuous beam with an axisymmetric Kapchinskij-Vladimirskij (KV) distribution. The analysis is carried out selfconsistently within the context of linearized Vlasov-Maxwell equations and electrostatic approximation. The emphasis is on investigating the coupling between longitudinal and transverse perturbations in the high-intensity region. The interaction between the transverse modes supported by the KV distribution and the ''usual transverse modes'' is examined. We found two classes of ''coupling modes'' that would not exist if longitudinal and transverse perturbations are treated separately. We also found that some transverse modes can interact among themselves through longitudinal perturbation to cause instability. The effects of wall impedance on beam stability is also studied and numerical examples are presented.

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3D multispecies nonlinear perturbative particle simulations of collective processes in intense particle beams for heavy ion fusion

Cited by 26 publications

References 15 publications

Field theory and weak Euler-Lagrange equation for classical particle-field systems

Field theory and weak Euler-Lagrange equation for classical particle-field systems

Symplectic particle-in-cell model for space-charge beam dynamics simulation

Three-dimensional stability theory of a continuous beam with axisymmetric Kapchinskij-Vladimirskij distribution

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