Haldane Exclusion Statistics and the Boltzmann Equation
Condensed Matter
2008-02-03 v2 High Energy Physics - Phenomenology
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9411112,
title = {Haldane Exclusion Statistics and the Boltzmann Equation},
author = {R. K. Bhaduri and R. S. Bhalerao and M. V. N. Murthy},
journal= {arXiv preprint arXiv:cond-mat/9411112},
year = {2008}
}
Comments
version accepted for publication in J. of Stat. Phys