Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in one dimension

DOI10.1016/j.jcp.2004.07.017zbMath1067.82057OpenAlexW1967997397MaRDI QIDQ703781

Ercument Ozizmir, Stephen Wollmann

Publication date: 11 January 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.07.017

zbMATH Keywords

Vlasov-Poisson-Fokker-Planck systemCollisional plasmaParticle method

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (15)

Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach ⋮ Contact-PIC numerical methods for simulating Vlasov-Poisson-Fokker-Planck problem ⋮ Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in two dimensions ⋮ Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods ⋮ Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field ⋮ A relativistic UGKS for stimulated Raman scattering in two dimension ⋮ CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM ⋮ A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model ⋮ Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting ⋮ Solving Vlasov-Poisson-Fokker-Planck Equations using NRxx method ⋮ The model reduction of the Vlasov–Poisson–Fokker–Planck system to the Poisson–Nernst–Planck system via the Deep Neural Network Approach ⋮ A deterministic particle method for the Vlasov-Fokker-Planck equation in one dimension ⋮ A splitting Fourier pseudospectral method for Vlasov-Poisson-Fokker-Planck system ⋮ L¹STABILITY FOR THE VLASOV–POISSON–BOLTZMANN SYSTEM AROUND VACUUM ⋮ Variational Asymptotic Preserving Scheme for the Vlasov--Poisson--Fokker--Planck System

Cites Work

• Random vortex methods for the Navier-Stokes equation
• Higher-order implicit strong numerical schemes for stochastic differential equations
• On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
• THE CONVERGENCE OF THE PARTICLE METHOD FOR THE VLASOV–POISSON SYSTEM WITH EQUALLY SPACED INITIAL DATA POINTS
• On Deterministic Particle Methods for Solving Vlasov--Poisson--Fokker--Planck Systems
• Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension
• The Numerical Analysis of Random Particle Methods Applied to Vlasov–Poisson Fokker-Planck Kinetic Equations
• Numerical Approximation of the One-Dimensional Vlasov–Poisson System with Periodic Boundary Conditions
• Stochastic Problems in Physics and Astronomy
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