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Physics of Intense Charged Particle Beams in High Energy Accelerators
Theoretical Models of Intense Non-neutral Particle Beams Particle Orbits in Periodic Focusing Field Configurations Nonlinear Kinetic Stability Theorem, Vlasov-Maxwell Description of…
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The Hamiltonian structure and Euler-Poincaré formulation of the Vlasov-Maxwell and gyrokinetic systems
We present a new variational principle for the gyrokinetic system, similar to the Maxwell-Vlasov action presented in H. Cendra et al., [J. Math. Phys. 39, 3138 (1998)]. The variational principle is…
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Phase-space dynamics of runaway electrons in tokamaks
The phase-space dynamics of runaway electrons is studied, including the influence of loop voltage, radiation damping, and collisions. A theoretical model and a numerical algorithm for the runaway…
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Gyrokinetic theory and computational methods for electromagnetic perturbations in tokamaks
Why is Boris algorithm so good
TLDR
It is shown that the Boris algorithm conserves phase space volume, even though it is not symplectic, making it an effective algorithm for the multi-scale dynamics of plasmas.
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Geometric integration of the Vlasov-Maxwell system with a variational particle-in-cell scheme
TLDR
A fully variational, unstructured, electromagnetic particle-in-cell integrator is developed for integration of the Vlasov-Maxwell equations, which exactly conserves Gauss’s law.
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Canonicalization and symplectic simulation of the gyrocenter dynamics in time-independent magnetic fields
The gyrocenter dynamics of charged particles in time-independent magnetic fields is a non-canonical Hamiltonian system. The canonical description of the gyrocenter has both theoretical and practical…
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Explicit K-symplectic algorithms for charged particle dynamics
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Variational symplectic algorithm for guiding center dynamics and its application in tokamak geometry
A variational symplectic integrator for the guiding center motion of charged particles in general magnetic fields is developed to enable accurate long-time simulation studies of magnetized plasmas.…
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Variational symplectic integrator for long-time simulations of the guiding-center motion of charged particles in general magnetic fields.
TLDR
The variational symplectic integrator conserves exactly a discrete Lagrangian symplectic structure, and has better numerical properties over long integration time, compared with standard integrators, such as the standard and variable time-step fourth order Runge-Kutta methods.
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