  We consider a fermionic Hubbard chain with an additional next-to-nearest
neighbor hopping term. We study the thermalization rates of the quasi-momentum
distribution function within a quantum Boltzmann equation approach. We find
that the thermalization rates are proportional to the square of the
next-to-nearest neighbor hopping: Even weak next-to-nearest neighbor hopping in
addition to nearest neighbor hopping leads to thermalization in a two-particle
scattering quantum Boltzmann equation in one dimension. We also investigate the
temperature dependence of the thermalization rates, which away from half
filling become exponentially small for small temperature of the final
thermalized distribution.
