中文

Kadanoff-Baym Equations with Initial Correlations

统计力学 2017-08-23 v1

摘要

The Kadanoff-Baym equations (KBE) are usually derived under the assumption of the weakening of initial correlations (Bogolyubov's condition) and, therefore, fail to correctly describe the short time behavior. We demonstrate that this assumption is not necessary. Using functional derivatives techniques, we present a straightforward generalization of the KBE which allows to include arbitrary initial correlations and which is more general than previous derivations. As a result, an additional collision integral is obtained which is being damped out after a few collisions. Our results are complemented with numerical investigations showing the effect of initial correlations.

引用

@article{arxiv.cond-mat/9911429,
  title  = {Kadanoff-Baym Equations with Initial Correlations},
  author = {D. Kremp and D. Semkat and M. Bonitz},
  journal= {arXiv preprint arXiv:cond-mat/9911429},
  year   = {2017}
}

备注

10 pages, 3 figures, to be published in ``Progress in Nonequilibrium Green's Functions'', M. Bonitz (Ed.), World Scientific, Singapore 2000, uses sprocl.sty