Comparison of linear and quadratic dispersion models for phonon transport in one-dimensional mass-disordered systems

Thermal conductance, K, of one-dimensional mass-disordered systems is calculated. Two types of dispersion models are considered: linear and quadratic dispersion model. For the linear dispersion model, the thermal conductance shows the super-diffusive nature, which is consistent with the previous research. For the quadratic dispersion model, the thermal conductance exhibits the normal-diffusion in which K is inversely proportional to the system size.