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The concept of physical momentum associated to phonons in a crystal,complemented with some fundamental reasoning, implies measurable effects incrystals even at a macroscopic scale. We show that, in close analogy with thetransfer of momentum in the kinetic theory of gases, physical momentum carriedby of phonons couples the thermal and the velocity field in a vibratingcrystal. Therefore an heat flow applied to a vibrating crystal can sustain ordamp the oscillation, depending on the interplay between the temperature andthe velocity gradient. We derive the general equations of this effect and showthat its experimental confirmation is within reach of current technology.

Phonon momentum and damping of mechanical resonators