The form of the collision integral describing elastic scattering of electrons and phonons by crystal defects is discussed once again. It is shown that in the absence of detailed balance for the transition probability $(W_{kk'}\ne W_{k'k})$, the collision integral does not contain Fermi or Bose factors (1$\mp$n$_k$) contrary to the point of view widespread in the literature. It turns out to be independent of the type of particle statistics and to be linear in occupation numbers, $I_k=\Sigma_k'(W_{kk'}n_k'–W_{k'k}n_k)$. A proof is given of the $H$-theorem on the increase in entropy of a system of elastically scattered electrons and phonons.

RT Journal
T1 Collision integral for elastic scattering of electrons and phonons
A1 Sturman,B.I.
PB Physics-Uspekhi
PY 1984
FD 10 Nov, 1984
JF Physics-Uspekhi
JO Phys. Usp.
VO 27
IS 11
SP 881-884
DO 10.1070/PU1984v027n11ABEH004122
LK https://ufn.ru/en/articles/1984/11/f/