\(5 / 6\)-superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field

DOI10.1007/S00220-019-03506-4zbMath1435.82022arXiv1808.01040OpenAlexW3098483727WikidataQ127538382 ScholiaQ127538382MaRDI QIDQ2008952

Hayate Suda, Makiko Sasada, Keiji Saito

Publication date: 26 November 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01040

zbMATH Keywords

superdiffusionWigner distributionsuperdiffusive transportharmonic chainlinear phonon Boltzmann equation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Fractional derivatives and integrals (26A33) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Boltzmann equations (35Q20) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Related Items (4)

Derivation of anomalous behavior from interacting oscillators in the high-temperature regime ⋮ Energy super-diffusion in 1d deterministic nonlinear lattices with broken standard momentum ⋮ On the universality from interacting particle systems ⋮ Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps

Cites Work

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• Nonlinear fluctuating hydrodynamics for anharmonic chains
• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Fibonacci family of dynamical universality classes
• Stochastic Equations in Infinite Dimensions

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