Anomalous energy transport in FPU-\(\beta\) chain
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Publication:513145
DOI10.1007/s10955-015-1273-2zbMath1360.82082arXiv1411.5246OpenAlexW3098428960MaRDI QIDQ513145
Sara Merino-Aceituno, Antoine Mellet
Publication date: 3 March 2017
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.5246
Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
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Cites Work
- Unnamed Item
- 3/4-fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise
- Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach
- Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
- Fractional diffusion limit for collisional kinetic equations
- Thermal conductivity for a momentum conservative model
- Energy transport in stochastically perturbed lattice dynamics
- The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
- Collisional invariants for the phonon Boltzmann equation
- Kinetic derivation of fractional Stokes and Stokes-Fourier systems
- Approach to equilibrium for the phonon Boltzmann equation
- Limit theorems for additive functionals of a Markov chain
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Superdiffusion of energy in a chain of harmonic oscillators with noise
- ANOMALOUS DIFFUSION LIMIT FOR KINETIC EQUATIONS WITH DEGENERATE COLLISION FREQUENCY
- Fractional diffusion limit for collisional kinetic equations: A moments method
- Anomalous energy transport in the FPU-β chain
- On the Boltzmann Equation for Weakly Nonlinear Wave Equations
- Energy Diffusion and Superdiffusion in Oscillators Lattice Networks
- The Fermi–Pasta–Ulam problem: Fifty years of progress
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