Convergence of a kinetic equation to a fractional diffusion equation

zbMath1198.82052arXiv0909.3385MaRDI QIDQ3583994

No author found.

Publication date: 18 August 2010

Full work available at URL: https://arxiv.org/abs/0909.3385

zbMATH Keywords

Lévy processanomalous diffusionkinetic limitheat conductanceBoltzmann equation, coupled oscillators

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (8)

Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation ⋮ Diffusive behavior for randomly kicked Newtonian particles in a spatially periodic medium ⋮ Fractional diffusion limit for a kinetic equation with an interface ⋮ From a kinetic equation to a diffusion under an anomalous scaling ⋮ Long time, large scale limit of the Wigner transform for a system of linear oscillators in one dimension ⋮ Energy diffusion in harmonic system with conservative noise ⋮ Superdiffusion of energy in a chain of harmonic oscillators with noise ⋮ A gradient flow approach to linear Boltzmann equations

This page was built for publication: Convergence of a kinetic equation to a fractional diffusion equation