Long time, large scale limit of the Wigner transform for a system of linear oscillators in one dimension

DOI10.1007/s10955-012-0528-4zbMath1253.82015arXiv1108.0086OpenAlexW3099476004MaRDI QIDQ1759692

Tomasz Komorowski, Łukasz T. Stȩpień

Publication date: 21 November 2012

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

Full work available at URL: https://arxiv.org/abs/1108.0086

zbMATH Keywords

fractional diffusionWigner transforminteracting harmonic oscillators

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Asymptotics of the solutions of the stochastic lattice wave equation ⋮ Kinetic limit for a harmonic chain with a conservative Ornstein-Uhlenbeck stochastic perturbation ⋮ Superdiffusion of energy in a chain of harmonic oscillators with noise

Cites Work

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• Fractional diffusion limit for collisional kinetic equations
• Energy transport in stochastically perturbed lattice dynamics
• Diffusion in a weakly random Hamiltonian flow
• Quantum diffusion of the random Schrödinger evolution in the scaling limit
• Kinetic limit for wave propagation in a random medium
• Limit theorems for additive functionals of a Markov chain
• Noncommutative Burkholder/Rosenthal inequalities
• Martingales in Banach Spaces
• Convergence of a kinetic equation to a fractional diffusion equation
• Stochastic Equations in Infinite Dimensions

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