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Stochastic TDHF and the Boltzman-Langevin equation

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Abstract

Outgoing from a time-dependent theory of correlations, we present a stochastic differential equation for the propagation of ensembles of Slater determinants, called Stochastic Time-Dependent Hartree-Fock (Stochastic TDHF). These ensembles are allowed to develop large fluctuations in the Hartree-Fock mean fields. An alternative stochastic differential equation, the Boltzmann-Langevin equation, can be derived from Stochastic TDHF by averaging over subensembles with small fluctuations.
Authors:
Suraud, E; [1]  Reinhard, P G [2] 
  1. Grand Accelerateur National d`Ions Lourds (GANIL), 14 - Caen (France)
  2. Erlangen-Nuernberg Univ., Erlangen (DE). Inst. fuer Theoretische Physik
Publication Date:
Dec 31, 1991
Product Type:
Technical Report
Report Number:
GANIL-P-91-07
Reference Number:
SCA: 661100; PA: FRD-92:000003; SN: 92000651848
Resource Relation:
Other Information: PBD: 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HARTREE-FOCK METHOD; STOCHASTIC PROCESSES; TIME DEPENDENCE; LANGEVIN EQUATION; BOLTZMANN EQUATION; FLUCTUATIONS; PERTURBATION THEORY; GENERATOR-COORDINATE METHOD; SLATER METHOD; MEAN-FIELD THEORY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10115395
Research Organizations:
Grand Accelerateur National d`Ions Lourds (GANIL), 14 - Caen (France)
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE92761833; TRN: FR9200003
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
FRN
Size:
34 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Suraud, E, and Reinhard, P G. Stochastic TDHF and the Boltzman-Langevin equation. France: N. p., 1991. Web.
Suraud, E, & Reinhard, P G. Stochastic TDHF and the Boltzman-Langevin equation. France.
Suraud, E, and Reinhard, P G. 1991. "Stochastic TDHF and the Boltzman-Langevin equation." France.
@misc{etde_10115395,
title = {Stochastic TDHF and the Boltzman-Langevin equation}
 author = {Suraud, E, and Reinhard, P G}
 abstractNote = {Outgoing from a time-dependent theory of correlations, we present a stochastic differential equation for the propagation of ensembles of Slater determinants, called Stochastic Time-Dependent Hartree-Fock (Stochastic TDHF). These ensembles are allowed to develop large fluctuations in the Hartree-Fock mean fields. An alternative stochastic differential equation, the Boltzmann-Langevin equation, can be derived from Stochastic TDHF by averaging over subensembles with small fluctuations.}
 place = {France}
 year = {1991}
 month = {Dec}
 }