A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918515711148032 |
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| author | Quashie, Mandela B. Burby, J. W. Christlieb, Andrew J. Tang, Qi |
| author_facet | Quashie, Mandela B. Burby, J. W. Christlieb, Andrew J. Tang, Qi |
| contents | We revisit the Scovel-Weinstein framework (Scovel & Weinstein, CPAM 1994) for reducing the Vlasov-Poisson system while preserving its Hamiltonian structure. Standard particle-in-cell (PIC) algorithms approximate the distribution function by macro-particles with position and velocity. In contrast, Scovel-Weinstein decorated particles involve additional shape degrees of freedom, while maintaining a finite-dimensional reduction with Hamiltonian structure inherited from the continuum model. Although the original work established this structure three decades ago, its computational potential has remained largely unexplored. We present a practical implementation of the Scovel-Weinstein model and compare it with a standard PIC algorithm. Numerical experiments demonstrate that macro-particles in standard PIC can be replaced by far fewer decorated particles while retaining comparable accuracy. This decorated particle approach offers a new structure-preserving paradigm for kinetic plasma simulation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_21794 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System Quashie, Mandela B. Burby, J. W. Christlieb, Andrew J. Tang, Qi Numerical Analysis Plasma Physics 65M75, 70H05, 70G65 We revisit the Scovel-Weinstein framework (Scovel & Weinstein, CPAM 1994) for reducing the Vlasov-Poisson system while preserving its Hamiltonian structure. Standard particle-in-cell (PIC) algorithms approximate the distribution function by macro-particles with position and velocity. In contrast, Scovel-Weinstein decorated particles involve additional shape degrees of freedom, while maintaining a finite-dimensional reduction with Hamiltonian structure inherited from the continuum model. Although the original work established this structure three decades ago, its computational potential has remained largely unexplored. We present a practical implementation of the Scovel-Weinstein model and compare it with a standard PIC algorithm. Numerical experiments demonstrate that macro-particles in standard PIC can be replaced by far fewer decorated particles while retaining comparable accuracy. This decorated particle approach offers a new structure-preserving paradigm for kinetic plasma simulation. |
| title | A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System |
| topic | Numerical Analysis Plasma Physics 65M75, 70H05, 70G65 |
| url | https://arxiv.org/abs/2605.21794 |