Haldane Exclusion Statistics and the Boltzmann Equation

Details Haldane Exclusion Statistics and the Boltzmann Equation Haldane Exclusion Statistics and the Boltzmann Equation

1994-11-28

arxiv.org/abs/cond-mat/9411112v2

Physics

Condensed Matter

version accepted for publication in J. of Stat. Phys

Scientific paper

We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium situation, this leads to the ``golden rule'' factor for quantum transitions. As an application of this, we calculate the density response function of a one-dimensional electron gas in a periodic potential, assuming that the particle-hole excitations are quasiparticles obeying the new statistics. We also calculate the relaxation time of a nuclear spin in a metal using the modified golden rule.

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