A diffusion limit for a test particle in a random distribution of scatterers

DOI10.1007/s10955-014-0940-zzbMath1296.82049arXiv1307.2157OpenAlexW2127840285WikidataQ59197297 ScholiaQ59197297MaRDI QIDQ2511541

Yanyan Li

Publication date: 6 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.2157

zbMATH Keywords

scattering problemgeometrical opticscircular potential barrier

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items

Motion among random obstacles on a hyperbolic space, Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field, Convergence to the Landau equation from the truncated BBGKY hierarchy in the weak-coupling limit, From a non-Markovian system to the Landau equation, On the theory of Lorentz gases with long range interactions, The grazing collisions limit from the linearized Boltzmann equation to the Landau equation for short-range potentials, Kinetic Theory for the Low-Density Lorentz Gas, The rigorous derivation of the linear Landau equation from a particle system in a weak-coupling limit, Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017, Interacting particle systems with long-range interactions: scaling limits and kinetic equations, Self-similar asymptotic behavior for the solutions of a linear coagulation equation, On the growth of a particle coalescing in a Poisson distribution of obstacles, Derivation of the Fick's law for the Lorentz model in a low density regime, Kinetic description of a Rayleigh gas with annihilation, Diffusive Limit for the Random Lorentz Gas

Cites Work

• Unnamed Item
• Unnamed Item
• Diffusion in a weakly random Hamiltonian flow
• Quantum diffusion of the random Schrödinger evolution in the scaling limit
• Rigorous derivation of the Landau equation in the weak coupling limit
• On the Boltzmann equation for the Lorentz gas
• Asymptotic motion of a classical particle in a random potential in two dimensions: Landau model
• A limit theorem for stochastic acceleration
• The Lorentz process converges to a random flight process
• Linear diffusive limit of deterministic systems of hard spheres
• THE LINEAR BOLTZMANN EQUATION FOR LONG-RANGE FORCES: A DERIVATION FROM PARTICLE SYSTEMS
• A rigorous derivation of a linear kinetic equation of Fokker-Planck type in the limit of grazing collisions.