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

H. S. Köhler, Nai-Hang Kwong, Hashim A. Yousif

Research output: Contribution to journalArticle

42 Citations (Scopus)

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 1999

Fingerprint

Fermions
fermions
Heavy ions
Convolution
Green's function
Fast Fourier transforms
orbitals
nuclear models
electron plasma
Semiconductor materials
Plasmas
convolution integrals
kinetic equations
ionic collisions
occupation
Kinetics
Electrons
Green's functions
flux density
quadrupoles

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A Fortran code for solving the Kadanoff-Baym equations for a homogeneous fermion system. / Köhler, H. S.; Kwong, Nai-Hang; Yousif, Hashim A.

In: Computer Physics Communications, Vol. 123, No. 1-3, 12.1999, p. 123-142.

Research output: Contribution to journalArticle

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N2 - 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.

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