In this work exact solutions for the equation that describes anomalous heatpropagation in 1D harmonic lattices are obtained. Rectangular, triangular, andsawtooth initial perturbations of the temperature field are considered. Thesolution for an initially rectangular temperature profile is investigated indetail. It is shown that the decay of the solution near the wavefront isproportional to $1/ \sqrt{t}$. In the center of the perturbation zone the decayis proportional to $1/t$. Thus the solution decays slower near the wavefront,leaving clearly visible peaks that can be detected experimentally.
展开▼
