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Haldane exclusion statistics and the Boltzmann equation

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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.

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Authors and Affiliations

  1. Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada

    R. K. Bhaduri

  2. Theoretical Physics Group, Tata Institute of Fundamental Research, Colaba, 400 005, Bombay, India

    R. S. Bhalerao

  3. Institute of Mathematical Sciences, Taramani, 600 113, Madras, India

    M. V. N. Murthy

Authors
  1. R. K. Bhaduri
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  2. R. S. Bhalerao
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  3. M. V. N. Murthy
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Communicated by J. L. Lebowitz

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Bhaduri, R.K., Bhalerao, R.S. & Murthy, M.V.N. Haldane exclusion statistics and the Boltzmann equation. J Stat Phys 82, 1659–1668 (1996). https://doi.org/10.1007/BF02183398

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  • DOI: https://doi.org/10.1007/BF02183398

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