Method and computer library for calculation of the Boltzmann collision integrals on discrete momentum lattice.

Kuznetsov, I O; Kartsev, P F · Phys Rev E · 2023

basic_science · Level V

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Abstract

We present a general and numerically efficient method for calculation of collision integrals for interacting quantum gases on a discrete momentum lattice. Here we employ the original analytical approach based on Fourier transform covering a wide spectrum of solid-state problems with various particle statistics and arbitrary interaction models, including the case of momentum-dependent interaction. The comprehensive set of the transformation principles is given in detail and realized as a computer Fortran 90 library FLBE (Fast Library for Boltzmann Equation).

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