Phonons are sound particles or quantized vibrations of atoms in solid materials. The Debye model, a theory introduced by physicist Peter Debye in 1912, describes the contribution of phonons to the ...

Soft whirring sound of low-frequency vibrations cannot be easily detected because it is not loud. But once detected, it can be hard to ignore. Often, residents complain of the annoyance caused by ...

A new asymptotic approximation of the dynamic equations in the two-dimensional classical theory of thin-elastic shells is established for a circular cylindrical shell. It governs long wave vibrations ...