Strain modulated phonon transport in one-dimensional nonlinear lattice with on-site potential

The one-dimensional (1D) nonlinear lattices with on-site potentials exhibit normal heat conduction and energy diffusion behaviors. The strain-modulated energy diffusion constants are studied for the 1D Frenkel–Kontorova (FK) lattices, which are typical lattices with on-site potentials. The 1D FK lattices show strain-modulated symmetric behaviors of local extrema in energy diffusion constants, similar to those previously observed in 1D Fermi–Pasta–Ulam (FPU) lattices that contain only interparticle potentials. However, the 1D FK lattices exhibit local minima in energy diffusion constants, which is in contrast to the behavior of the 1D FPU lattices. Although strain always enhances the phonon group velocity and suppresses the phonon relaxation time for both the 1D FK and FPU lattices, the suppression of the phonon relaxation time is much weaker for the 1D FK lattices compared to the 1D FPU lattices.