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

Abstract The one-dimensional (1d) nonlinear lattices with on-site potential have normal heat conduction and energy diffusion behaviors. The strain modulated energy diffusion constants are studied for the 1d Frenkel-Kontorova (FK) lattices which are the typical lattices with on-site potentials. The 1d FK lattices show similar strain modulated symmetry behaviors of local extreme values of energy diffusion constants as the previously studied 1d Fermi-Pasta-Ulam (FPU) lattices with only interactive potentials. However, the 1d FK lattices have local minimum energy diffusion constants which is in contrary to the 1d FPU lattices. Although the strain always enhances the phonon group velocities and suppresses the phonon relaxation time for the 1d FK and FPU lattices, the suppression of phonon relaxation time is much weaker for the 1d FK lattices comparing to the 1d FPU lattices.