Interacting particle systems with long-range interactions: scaling limits and kinetic equations
DOI10.4171/RLM/939zbMath1479.82049arXiv2003.11605MaRDI QIDQ2240523
Alessia Nota, Raphael Winter, Juan J. L. Velazquez
Publication date: 4 November 2021
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.11605
long-range interactionskinetic equationsinteracting particle systemsscaling limitstracer particle in random medium approximation
PDEs in connection with optics and electromagnetic theory (35Q60) Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Statistical mechanics of plasmas (82D10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Vlasov equations (35Q83) PDEs in connection with mechanics of particles and systems of particles (35Q70)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field
- Time-asymptotic evolution of spatially uniform Gaussian Vlasov fluctuation fields
- From Newton to Boltzmann: hard spheres and short-range potentials
- 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
- Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model
- Stochastic dynamics of a test particle in fluids with weak long-range forces
- A limit theorem for stochastic acceleration
- The Lorentz process converges to a random flight process
- On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions
- On the Landau approximation in plasma physics.
- The two-particle correlation function for systems with long-range interactions
- Equilibrium time correlation functions in the low-density limit
- Long wave asymptotics for the Vlasov-Poisson-Landau kinetic equation
- Invariance principle for the random Lorentz gas -- beyond the Boltzmann-Grad limit
- The full moment problem on subsets of probabilities and point configurations
- Derivation of the Fick's law for the Lorentz model in a low density regime
- Kinetic description of a Rayleigh gas with annihilation
- On Bogoliubov's kinetic equation for a spatially homogeneous plasma
- Linear diffusive limit of deterministic systems of hard spheres
- A diffusion limit for a test particle in a random distribution of scatterers
- Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma
- On the Boltzmann equation for rigid spheres
- Time evolution of large classical systems
- Time decay for solutions to the linearized Vlasov equation
- On time decay rates in landau damping
- On the theory of Lorentz gases with long range interactions
- THE LINEAR BOLTZMANN EQUATION FOR LONG-RANGE FORCES: A DERIVATION FROM PARTICLE SYSTEMS
- On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
- On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
- Diffusive Limit for the Random Lorentz Gas
- On the validity of the Boltzmann equation for short range potentials
- A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions.
- Stochastic differential equations. An introduction with applications.