Microscopic foundations of kinetic plasma theory: the relativistic Vlasov-Maxwell equations and their radiation-reaction-corrected generalization
DOI10.1007/s10955-020-02519-xzbMath1448.82038arXiv1910.11951OpenAlexW2981986199MaRDI QIDQ2194185
Yves Elskens, Michael Karl-Heinz Kiessling
Publication date: 25 August 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.11951
Vlasov-Maxwell systemmicroscopic foundationsradiation-reaction correctionsrelativistic plasma kinetic theory
Interacting particle systems in time-dependent statistical mechanics (82C22) Many-body theory; quantum Hall effect (81V70) Electromagnetic fields in general relativity and gravitational theory (83C50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Special relativity (83A05) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Einstein-Maxwell equations (83C22) Vlasov equations (35Q83) Maxwell equations (35Q61) Boltzmann equations (35Q20)
Related Items (4)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the electrostatic Born-Infeld equation with extended charges
- On the entropy of radiation reaction
- The mean-field limit for a regularized Vlasov-Maxwell dynamics
- Mean field limits for Ginzburg-Landau vortices
- Large time behavior of the relativistic Vlasov Maxwell system in low space dimension.
- On Landau damping
- Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics
- The Vlasov dynamics and its fluctuations in the \(1/N\) limit of interacting classical particles
- On the fluctuations about the Vlasov limit for \(N\)-particle systems with mean-field interactions
- Singularity formation in a collisionless plasma could occur only at high velocities
- The classical limit of the relativistic Vlasov-Maxwell system
- Absence of shocks in an initially dilute collisionless plasma
- Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
- Vlasov equations
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system
- The two-particle correlation function for systems with long-range interactions
- Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system
- A new approach to study the Vlasov-Maxwell system.
- Correction to: ``On the quasi-linear elliptic PDE \(-\nabla\cdot({\nabla}{u}/ \sqrt{1-|{\nabla}{u}|^2}) = 4\pi\sum_k a_k \delta_{s_k}\) in physics and geometry
- A review of the mean field limits for Vlasov equations
- On linear Landau damping for relativistic plasmas via Gevrey regularity
- Electromagnetic field theory without divergence problems. I: The Born legacy
- A mean field limit for the Vlasov-Poisson system
- A non-relativistic model of plasma physics containing a radiation reaction term
- The microscopic foundations of Vlasov theory for jellium-like Newtonian \(N\)-body systems
- The Vlasov limit for a system of particles which interact with a wave field
- Simplified models of electromagnetic and gravitational radiation damping
- Landau damping in relativistic plasmas
- On the initial value formulation of classical electrodynamics
- Relativistic Kinetic Theory
- Dynamics of Charged Particles and their Radiation Field
- Plasma Physics
- Test Particles in a Completely Ionized Plasma
- On the self-force in Bopp–Podolsky electrodynamics
- Global weak solutions of Vlasov‐Maxwell systems
- On the relativistic Vlasov-Poisson system
- Local existence of solutions of the vlasov‐maxwell equations and convergence to the vlasov‐poisson equations for infinite light velocity
- High velocity particles in a collisionless plasma
- Global existence of smooth solutions to the vlasov poisson system in three dimensions
- On the Schrödinger spectrum of a hydrogen atom with electrostatic Bopp–Landé–Thomas–Podolsky interaction between electron and proton
- Onsager-type conjecture and renormalized solutions for the relativistic Vlasov–Maxwell system
- A kinetic model of radiating electrons
- Relativistic Kinetic Equations Including Radiation Effects. I. Vlasov Approximation
- Kinetic Theory in the Expanding Universe
- Lineare Theorie des Elektrons. II
- A Relativistic Cut-Off for Classical Electrodynamics
- The Vlasov-Poisson system with radiation damping
This page was built for publication: Microscopic foundations of kinetic plasma theory: the relativistic Vlasov-Maxwell equations and their radiation-reaction-corrected generalization