Structure preservation using discrete gradients in the Vlasov-Poisson-Landau system
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917273947602944 |
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| author | Finn, Daniel S. Pusztay, Joseph V. Knepley, Matthew G. Adams, Mark F. |
| author_facet | Finn, Daniel S. Pusztay, Joseph V. Knepley, Matthew G. Adams, Mark F. |
| contents | We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gradient time integrators. The Vlasov-Poisson-Landau system is an accurate model for studying hot plasma dynamics at a kinetic scale where small-angle Coulomb collisions dominate. Our scheme guarantees conservation of mass, momentum and energy as well as preservation of the monotonicity of entropy production in both the time-continuous and discrete systems. We employ the conservative integrator for both the Hamiltonian Vlasov-Poisson equations and the dissipative Landau equation using the PETSc library (www.mcs.anl.gov/petsc) to showcase structure-preserving properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13068 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structure preservation using discrete gradients in the Vlasov-Poisson-Landau system Finn, Daniel S. Pusztay, Joseph V. Knepley, Matthew G. Adams, Mark F. Plasma Physics Mathematical Physics We present a novel structure-preserving framework for solving the Vlasov-Poisson-Landau system of equations using a particle in cell (PIC) discretization combined with discrete gradient time integrators. The Vlasov-Poisson-Landau system is an accurate model for studying hot plasma dynamics at a kinetic scale where small-angle Coulomb collisions dominate. Our scheme guarantees conservation of mass, momentum and energy as well as preservation of the monotonicity of entropy production in both the time-continuous and discrete systems. We employ the conservative integrator for both the Hamiltonian Vlasov-Poisson equations and the dissipative Landau equation using the PETSc library (www.mcs.anl.gov/petsc) to showcase structure-preserving properties. |
| title | Structure preservation using discrete gradients in the Vlasov-Poisson-Landau system |
| topic | Plasma Physics Mathematical Physics |
| url | https://arxiv.org/abs/2602.13068 |