TY - JOUR

T1 - A Fortran code for solving the Kadanoff-Baym equations for a homogeneous fermion system

AU - Köhler, H. S.

AU - Kwong, N. H.

AU - Yousif, Hashim A.

N1 - Funding Information:
Some calculations and testing were made with the Cray computer at Pittsburgh’s Supercomputer Center and with the SGI at the University of Arizona. This work was supported in part by National Science Foundation Grant No. PHY-9722050.

PY - 1999/12

Y1 - 1999/12

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.

AB - 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.

KW - Kadanoff-Baym equations

KW - Momentum relaxation

KW - Nonequilibrium Green functions

KW - Nuclear reactions

KW - Quantum transport

KW - Semiconductor transport

UR - http://www.scopus.com/inward/record.url?scp=0040736278&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040736278&partnerID=8YFLogxK

U2 - 10.1016/s0010-4655(99)00260-x

DO - 10.1016/s0010-4655(99)00260-x

M3 - Article

AN - SCOPUS:0040736278

VL - 123

SP - 123

EP - 142

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 1-3

ER -