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Title: Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov–Maxwell equations

Particle-in-cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the Vlasov-Maxwell system by discretising its canonical Poisson bracket. A fast local algorithm to solve the symplectic implicit time advance is discovered without root searching or global matrix inversion, enabling applications of the proposed method to very large-scale plasma simulations with many, e.g. 10(9), degrees of freedom. The long-term accuracy and fidelity of the algorithm enables us to numerically confirm Mouhot and Villani's theory and conjecture on nonlinear Landau damping over several orders of magnitude using the PIC method, and to calculate the nonlinear evolution of the reflectivity during the mode conversion process from extraordinary waves to Bernstein waves.
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Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0029-5515
DOE Contract Number:
AC02-09CH11466; 2015GB111003; 2014GB124005; 2013GB111000
Resource Type:
Journal Article
Resource Relation:
Journal Name: Nuclear Fusion; Journal Volume: 56; Journal Issue: 1
IOP Publishing
Research Org:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org:
Country of Publication:
United States
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; particle-in-cell simulations; Vlasov-Maxwell equations; canonical; symplectic algorithm; continuous Hamiltonian system; integration; algorithms