Energy carriers in the Fermi-Pasta-Ulam $\beta$ lattice: Solitons or Phonons?

Abstract

We investigate anomalous energy transport processes in the Fermi-Pasta-Ulam $\beta$ lattice. They are determined by the maximum sound velocity of the relevant weakly damped energy carriers. That velocity can be numerically resolved by measuring the propagating fronts of the correlation functions of energy/momentum fluctuations at different times. The numerical results are compared with the predictions for solitons and effective (renormalized) phonons, respectively. Excellent agreement has been found for the prediction of effective long wavelength phonons, giving strong evidence that the energy carriers should be effective phonons rather than solitons.

4 pages, 5 figures

References in corpus (5)

• Heat Transport in low-dimensional systems
• Quantum thermal transport in nanostructures
• Energy Transport in Weakly Anharmonic Chains
• Effective phonons in anharmonic lattices: anomalous vs normal heat conduction
• Thermal conductivity of anharmonic lattices: Effective phonons and quantum corrections

Cited by in corpus (33)

• Anomalous Heat Diffusion
• Anomalous Heat Diffusion
• Phononic Frequency Combs via Nonlinear Resonances
• Perturbation spreading in many-particle systems: a random walk approach
• The role of high-order anharmonicity and off-diagonal terms in thermal conductivity: a case study of multi-phase CsPbBr3
• The effect of discrete breathers on heat conduction in nonlinear chains
• 1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport
• Microscopic model of a phononic refrigerator
• Ultrahigh convergent thermal conductivity of carbon nanotubes from comprehensive atomistic modeling
• Triggering waves in nonlinear lattices: Quest for anharmonic phonons and corresponding mean free paths
• Thermal conductivities of one-dimensional anharmonic/nonlinear lattices: renormalized phonons and effective phonon theory
• Localization of low-frequency oscillations in single-walled carbon nanotubes
• Renormalized phonons in nonlinear lattices: A variational approach
• Temperature dependence of thermal conductivities of coupled rotator lattice and the momentum diffusion in standard map
• Kapitza thermal resistance in linear and nonlinear chain models: isotopic defect
• Chiral heat transport in driven quantum Hall and quantum spin Hall edge states
• Energy spread and current-current correlation in quantum systems
• Heat conduction and energy diffusion in momentum-conserving 1D full lattice ding-a-ling model
• Temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential
• Classical Heat Transport in Anharmonic Molecular Junctions: Exact Solutions
• Solitons as candidates for energy carriers in Fermi-Pasta-Ulam lattices
• Stretch diffusion and heat conduction in 1D nonlinear lattices
• Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
• Linear response formula for finite frequency thermal conductance of open systems
• Heat perturbations spreading in the Fermi-Pasta-Ulam-$\beta$ system with next-nearest-neighbor coupling: Competition between phonon dispersion and nonlinearity
• Variational approach to renormalized phonon in momentum-nonconserving nonlinear lattices
• Propagation dynamics on the Fermi-Pasta-Ulam lattices
• Thermal rectification in mass-asymmetric one-dimensional anharmonic oscillator lattices with and without a ballistic spacer
• Nonequilibrium Green's functions in the study of heat transport of driven nanomechanical systems
• Thermal resonance in harmonically driven segmented Frenkel-Kontorova lattices with next-nearest-neighbor interactions
• Unconventional Relaxation of Hydrodynamic Modes in Anharmonic Chains
• Heat conductivity in the beta-FPU lattice. Solitons and breathers as energy carriers
• Anti-localization of non-stationary quasi-waves in a strongly nonlinear $\beta$-FPUT chain