A Fortran code for solving the Kadanoff-Baym equations for a homogeneous fermion system

H. S. Köhler, N. H. Kwong, Hashim A. Yousif

Research output: Contribution to journalArticle

43 Scopus citations

Abstract

A Fortran code for solving the Kadanoff-Baym equations for a homogeneous fermion system is presented. These are a class of quantum kinetic equations the solutions of which are two-time Green (correlation) functions, which carry both statistical (orbital occupation distributions) and dynamical (orbital energies and widths) information about the system away from equilibrium. In this program, the system's initial state is assumed to be uncorrelated. As examples of applications, two separate situations involving equilibration (thermalization) are considered: the first one models an electron plasma in an excited semiconductor, and the other models nuclear heavy-ion collisions. The most time-consuming part of the program is the computation of the convolutions of various combinations of the Green functions. This task is efficiently performed by the use of Fast Fourier Transform. As summary output, the particle density, energy densities, and the quadrupole moment of the distribution are displayed. The program can easily be modified such that the user may use any initial distribution of fermions.

Original languageEnglish (US)
Pages (from-to)123-142
Number of pages20
JournalComputer Physics Communications
Volume123
Issue number1-3
StatePublished - Dec 1 1999

Keywords

  • Kadanoff-Baym equations
  • Momentum relaxation
  • Nonequilibrium Green functions
  • Nuclear reactions
  • Quantum transport
  • Semiconductor transport

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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