Temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential
arXiv:1408.4315 · doi:10.1103/PhysRevE.90.062122
Abstract
The temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential (soft-KG) have been investigated systematically. Similar to the previously studied hard-KG lattices, the existence of renormalized phonons has also been confirmed in soft-KG lattices. In particular, the temperature-dependence of renormalized phonon frequency predicted by a classical field theory has been verified by detailed numerical simulations. However, the thermal conductivities of soft-KG lattices exhibit opposite trend in the temperature dependence in comparison with the hard-KG lattices. The interesting thing is that both the temperature-dependent thermal conductivities of soft- and hard-KG lattices can be interpreted in the same framework of effective phonon theory. According to the effective phonon theory, the exponents of the power-law dependence of the thermal conductivities as the function of temperature are only determined by the exponents of the soft or hard on-site potentials. These theoretical predictions have been consistently verified very well by extensive numerical simulations.
arXiv comment6 pages, 5 figures
References in corpus (49)
- Thermal conduction in classical low-dimensional lattices
- Phononics: Manipulating heat flow with electronic analogs and beyond
- Discrete Breathers
- Length-dependent thermal conductivity in suspended single-layer graphene
- Heat Transport in low-dimensional systems
- Anomalous heat conduction in one dimensional momentum-conserving systems
- Thermal conductance through molecular wires
- Heat conduction in one dimensional chains
- Finite thermal conductivity in 1d lattices
- On the anomalous thermal conductivity of one-dimensional lattices
- Heat conduction in one dimensional nonintegrable systems
- Heat conduction in the disordered harmonic chain revisited
- Heat conduction in the diatomic Toda lattice revisited
- Anomalous Heat Diffusion
- Anomalous Heat Diffusion
- From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
- Dynamic Correlators of Fermi-Pasta-Ulam Chains and Nonlinear Fluctuating Hydrodynamics
- Intriguing Heat Conduction of a Polymer Chain
- Bulk Properties of Anharmonic Chains in Strong Thermal Gradients: Non-Equilibrium Theory
- Anomalous Heat Conduction and Anomalous Diffusion in Low Dimensional Nanoscale Systems
- FPU model: Boundary Jumps, Fourier's Law and Scaling
- Relaxation of classical many-body hamiltonians in one dimension
- Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
- Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
- Finite thermal conductivity in 1D models having zero Lyapunov exponents
- Can disorder induce a finite thermal conductivity in 1D lattices?
- On the universality of anomalous one-dimensional heat conductivity
- Normal heat conduction in one dimensional momentum conserving lattices with asymmetric interactions
- Heat conduction in a three dimensional anharmonic crystal
- Heat conduction in the α-β-Fermi-Pasta-Ulam chain
- Heat conduction in 1D lattices with on-site potential
- Energy carriers in the Fermi-Pasta-Ulam lattice: Solitons or Phonons?
- Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions
- Renormalized waves and discrete breathers in -FPU chains
- Fourier's Law: insight from a simple derivation
- Effective phonons in anharmonic lattices: anomalous vs normal heat conduction
- The approach to thermalization in the classical phi^4 theory in 1+1 dimensions: energy cascades and universal scaling
- The effect of discrete breathers on heat conduction in nonlinear chains
- Normal Heat Conduction in a Chain with Weak Interparticle Anharmonic Potential
- Wave transmission, phonon localization and heat conduction of 1D Frenkel-Kontorova chain
- Absence of local thermal equilibrium in two models of heat conduction
- Thermal conductivity of anharmonic lattices: Effective phonons and quantum corrections
- Wave scattering by discrete breathers
- Solitary waves in nonequilibrium molecular dynamics simulations of heat flow in one-dimensional lattices
- Heat Conduction in One-Dimensional chain of Hard Discs with Substrate Potential
- Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
- Thermal conductivities of one-dimensional anharmonic/nonlinear lattices: renormalized phonons and effective phonon theory
- Enhanced Pulse Propagation in Non-Linear Arrays of Oscillators
- Thermal conductivity of one-dimensional lattices with self-consistent heat baths: a heuristic derivation