English

The Boltzmann--Langevin approach: A simple quantum-mechanical derivation

Statistical Mechanics 2015-09-22 v1 Mesoscale and Nanoscale Physics

Abstract

We present a simple quantum-mechanical derivation of correlation function of Langevin sources in the semiclassical Boltzmann--Langevin equation. The specific case of electron--phonon scattering is considered. It is shown that the assumption of weak scattering leads to the Poisson nature of the scattering fluxes.

Keywords

Cite

@article{arxiv.1509.06267,
  title  = {The Boltzmann--Langevin approach: A simple quantum-mechanical derivation},
  author = {K. E. Nagaev},
  journal= {arXiv preprint arXiv:1509.06267},
  year   = {2015}
}

Comments

4 pages, 1 figure, invited contribution to special issue in Physica E on "Frontiers in quantum electronic transport - in memory of Markus B\"uttiker"

R2 v1 2026-06-22T11:01:44.867Z