Heat current
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A heat current is a kinetic exchange rate between molecules, relative to the material in which the kinesis occurs. A specific pattern of collisions among molecules, similar to a river bed effect on the direction of water traveling therein.
Heat current can also be thought of as the total phonon distribution multiplied by the energy of one phonon, times the group velocity of the phonons. The phonon distribution of a particular phonon mode is given by the Bose-Einstein factor, which is dependent on temperature and phonon energy.