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Effect Of Non‐Equilibrium Term In Two‐Particle Correlation Function On Electron‐Phonon Collision Integrals

The derivation of kinetic equation for one‐particle distribution function F(p;r;t) from BBGKY chain leads to the collision integral expressed in terms of the two‐particle correlation function. The latter is in turn expressed by F using Boltzmann’s Stosszahlansatz that implies the neglect of initial one‐time correlation function g2(p1;p2;r;t) which is non‐diagonal in the momentum space. In nonequilibrium case, however, it has been established that pair collisions generate the non‐diagonal two‐particle correlations that give the essential contribution to the current fluctuations of hot electrons. These correlations have been shown giving also a contribution to the collision integrals, i.e., to kinetic properties of nonequilibrium gas The expression for electron energy loss rate P via phonons is re‐derived in detail from this point of view. The order of value of the new term in P in the cases of acoustic‐ and optical‐phonon scattering is evaluated in the electron temperature approximation using the experimen...