Wave turbulence and thermalization in one-dimensional chains
From MaRDI portal
Publication:6082013
DOI10.1016/j.physrep.2023.09.006arXiv2305.18215OpenAlexW4388271902MaRDI QIDQ6082013
Yuri V. Lvov, Sergio Chibbaro, Giovanni Dematteis, Miguel Onorato
Publication date: 29 November 2023
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.18215
wave turbulencethermalizationone-dimensional chainswave kinetic equationFermi-Pasta-Ulam-Tsingou problem
Cites Work
- Role of Low-Energy Phonons in Thermal Conduction
- Korteweg–de Vries and Fermi–Pasta–Ulam–Tsingou: asymptotic integrability of quasi unidirectional waves
- Symmetry and resonance in periodic FPU chains
- Unnamed Item
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- The steep Nekhoroshev's theorem
- Anomalous energy transport in FPU-\(\beta\) chain
- Weakly nonlinear Schrödinger equation with random initial data
- Time-scales to equipartition in the Fermi-Pasta-Ulam problem: finite-size effects and thermodynamic limit
- Strong and weak chaos in weakly nonintegrable many-body Hamiltonian systems
- Wave turbulence.
- Nonlinear normal modes for the Toda chain
- The Fermi-Pasta-Ulam problem: scaling laws vs. initial conditions
- Resonant normal form for even periodic FPU chains
- Proof of Nishida's conjecture on anharmonic lattices
- The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
- Energy transport in weakly anharmonic chains
- Heat transport in harmonic lattices
- Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU
- Results on normal forms for FPU chains
- On metastability in FPU
- Hydrodynamic limits of the Boltzmann equation
- Modulation instability: The beginning
- Stable and metastable states and the formation and destruction of breathers in the discrete nonlinear Schrödinger equation
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- 4-wave dynamics in kinetic wave turbulence
- Joint statistics of amplitudes and phases in wave turbulence
- A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom
- Direction-reversing traveling waves in the even Fermi-Pasta-Ulam lattice
- On a connection between KAM and Nekhoroshev's theorems
- Kinetic wave turbulence
- Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation
- Formal expansions in stochastic model for wave turbulence. II: Method of diagram decomposition
- Exact discrete resonances in the Fermi-Pasta-Ulam-Tsingou system
- Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit
- Statistical mechanics of systems with negative temperature
- Unsteady ballistic heat transport: linking lattice dynamics and kinetic theory
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Universal route to thermalization in weakly-nonlinear one-dimensional chains
- An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit
- Probability densities and preservation of randomness in wave turbulence
- The Fermi-Pasta-Ulam problem. A status report
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Superdiffusion of energy in a chain of harmonic oscillators with noise
- Mode-coupling theory and tails in CA fluids
- Formal expansions in stochastic model for wave turbulence. I: Kinetic limit
- Uniqueness of solutions to the spectral hierarchy in kinetic wave turbulence theory
- Path large deviations for the kinetic theory of weak turbulence
- Some Analytic Results on the FPU Paradox
- The Modified Korteweg-de Vries Equation
- Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part II: Degenerate Collision Frequency
- The nonlinear Schrödinger equation with a random potential: results and puzzles
- Nonlinear-Evolution Equations of Physical Significance
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Equilibration properties of classical integrable field theories
- Integrability of hamiltonian systems on cantor sets
- On the stability of multibreathers in Klein–Gordon chains
- Method for Solving the Korteweg-deVries Equation
- The solution to the 4-phonon Boltzmann equation for a 1D chain in a thermal gradient
- Chaos and Coarse Graining in Statistical Mechanics
- Anomalous energy transport in the FPU-β chain
- STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
- Thermoelasticity with Second Sound: A Review
- The Inverse Problem in the Quantum Theory of Scattering
- On the Boltzmann equation for rigid spheres
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- On the Toda Lattice. II: Inverse-Scattering Solution
- The Toda lattice. II. Existence of integrals
- Estimates of stability time for nearly integrable systems with a quasiconvex Hamiltonian
- Fractional equation description of an open anomalous heat conduction set-up
- On the derivation of the wave kinetic equation for NLS
- On the properties of energy flux in wave turbulence
- Notes on Hamiltonian Dynamical Systems
- The β Fermi-Pasta-Ulam-Tsingou recurrence problem
- On the kinetic wave turbulence description for NLS
- Nekhoroshev theorem for the periodic Toda lattice
- Wave Turbulence
- Integrals of nonlinear equations of evolution and solitary waves
- The Fermi–Pasta–Ulam problem: Fifty years of progress
- The Fermi–Pasta–Ulam problem as a challenge for the foundations of physics
- Time scale for energy equipartition in a two-dimensional FPU model
- The anti-FPU problem
- The thermal conductivity of dielectric solids at low temperatures (Theoretical)